{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# -*- coding:utf-8 -*-\n",
    "import sys\n",
    "#reload(sys)\n",
    "#sys.setdefaultencoding(\"utf-8\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 波士顿房价数据探索\n",
    "\n",
    "该数据集来自UCI机器学习知识库。波士顿房屋这些数据于1978年开始统计，共506个数据点，涵盖了麻省波士顿不同郊区房屋13种特征和房价中位数的信息。\n",
    "本项目将原始数据集存为csv格式，方便调用pandas做数据分析。\n",
    "\n",
    "在开始一项新任务时，通过可视化手段探索数据往往是任务的第一步，从而根据数据特点选择合适的数据预处理方式和机器学习模型。\n",
    "相比直接阅读许多行原始数据，图表汇总数据能更好地帮助我们把握数据的要点。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 导入必要的工具包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np # linear algebra\n",
    "import pandas as pd # data processing, CSV file I/O\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pandas提供了大量数据分析的方法，可以使用类似SQL的方式非常方便地加载、处理、分析这些表格形式的数据。\n",
    "搭配Matplotlib和Seaborn效果更好。\n",
    "\n",
    "Pandas的主要数据结构是Series和DataFrame类。\n",
    "Series是一个包含某种固定类型数据的一维数组。\n",
    "DataFrame是一个二维数据表格，其中每列包含相同类型的数据。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 读取数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.00632</td>\n",
       "      <td>18</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1</td>\n",
       "      <td>296</td>\n",
       "      <td>15</td>\n",
       "      <td>396.90</td>\n",
       "      <td>4.98</td>\n",
       "      <td>24.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.02731</td>\n",
       "      <td>0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.14</td>\n",
       "      <td>21.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.02729</td>\n",
       "      <td>0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17</td>\n",
       "      <td>392.83</td>\n",
       "      <td>4.03</td>\n",
       "      <td>34.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.03237</td>\n",
       "      <td>0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18</td>\n",
       "      <td>394.63</td>\n",
       "      <td>2.94</td>\n",
       "      <td>33.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.06905</td>\n",
       "      <td>0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.33</td>\n",
       "      <td>36.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CRIM  ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD  TAX  PTRATIO  \\\n",
       "0  0.00632  18   2.31     0  0.538  6.575  65.2  4.0900    1  296       15   \n",
       "1  0.02731   0   7.07     0  0.469  6.421  78.9  4.9671    2  242       17   \n",
       "2  0.02729   0   7.07     0  0.469  7.185  61.1  4.9671    2  242       17   \n",
       "3  0.03237   0   2.18     0  0.458  6.998  45.8  6.0622    3  222       18   \n",
       "4  0.06905   0   2.18     0  0.458  7.147  54.2  6.0622    3  222       18   \n",
       "\n",
       "        B  LSTAT  MEDV  \n",
       "0  396.90   4.98  24.0  \n",
       "1  396.90   9.14  21.6  \n",
       "2  392.83   4.03  34.7  \n",
       "3  394.63   2.94  33.4  \n",
       "4  396.90   5.33  36.2  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#dpath = \"./data/\"\n",
    "df = pd.read_csv(\"boston_housing.csv\")\n",
    "\n",
    "#显示前5行\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据总体信息"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 506 entries, 0 to 505\n",
      "Data columns (total 14 columns):\n",
      " #   Column   Non-Null Count  Dtype  \n",
      "---  ------   --------------  -----  \n",
      " 0   CRIM     506 non-null    float64\n",
      " 1   ZN       506 non-null    int64  \n",
      " 2   INDUS    506 non-null    float64\n",
      " 3   CHAS     506 non-null    int64  \n",
      " 4   NOX      506 non-null    float64\n",
      " 5   RM       506 non-null    float64\n",
      " 6   AGE      506 non-null    float64\n",
      " 7   DIS      506 non-null    float64\n",
      " 8   RAD      506 non-null    int64  \n",
      " 9   TAX      506 non-null    int64  \n",
      " 10  PTRATIO  506 non-null    int64  \n",
      " 11  B        506 non-null    float64\n",
      " 12  LSTAT    506 non-null    float64\n",
      " 13  MEDV     506 non-null    float64\n",
      "dtypes: float64(9), int64(5)\n",
      "memory usage: 55.5 KB\n"
     ]
    }
   ],
   "source": [
    "df.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "一、样本数N：506\n",
    "\n",
    "二、特征维数：13，每个特征的数据类型，非空值的样本数目\n",
    "1. CRIM：人均犯罪率 ；\n",
    "2. ZN：住宅用地的比例（对超过两万五千平方英尺的区域） ；整数\n",
    "3. INDUS：城镇中非零售营业比例；\n",
    "4. CHAS：是否靠近Charles河的边界；整数\n",
    "5. NOX：一氧化氮浓度 ；\n",
    "6. RM：住宅平均房间数；\n",
    "7. AGE：1940年之前建造的自住房屋的比例；\n",
    "8. DIS：距离波士顿五个中心的加权距离；\n",
    "9. RAD：高速公路的便利指数（索引）；整数\n",
    "10. TAX ：每一万美元财产的全额财产税率； 整数\n",
    "11. PTRATIO ：城乡师生比例；PTRATIO\n",
    "12. B ：黑人比例\n",
    "13. LSTAT ：低收入人群比例\n",
    "\n",
    "\n",
    "三、标签y\n",
    "MEDV ：自住房屋价格的中值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(506, 14)\n"
     ]
    }
   ],
   "source": [
    "# 样本数目和特征维数\n",
    "print(df.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index(['CRIM', 'ZN', 'INDUS', 'CHAS', 'NOX', 'RM', 'AGE', 'DIS', 'RAD', 'TAX',\n",
      "       'PTRATIO', 'B', 'LSTAT', 'MEDV'],\n",
      "      dtype='object')\n"
     ]
    }
   ],
   "source": [
    "#列的名字\n",
    "print(df.columns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据探索"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "查看数据各特征的分布，特征与标签之间的关系、以及特征之间相关性（是否存在冗余）。\n",
    "数据表的特征类型通常有两种：\n",
    "1. 数值型特征（int64和float64）\n",
    "2. 类别型特征（categorical features）或离散型特征。离散型特征具有固定数目的值。如果特征只有两个取值，也成为二元（binary）变量。如果类别型变量的值具有顺序，称为有序（ordinal）类别型变量。\n",
    "\n",
    "我们可以借用可视化工具来直观感觉数据的分布。\n",
    "在Python中，有很多数据可视化途径。\n",
    "Matplotlib非常强大，但很复杂，不易于学习。 \n",
    "Seaborn是在matplotlib的基础上进行了更高级的API封装，从而使得作图更加容易，在大多数情况下使用seaborn就能做出很具有吸引力的图，而使用matplotlib就能制作具有更多特色的图。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在Boston房价预测数据集中，所有特征均为数值型特征（RAD为高速公路便利指数，亦可视为类别型特征；CHAS为0/1编码，为类别型特征）。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "对数值型特征，describe方法可以特征的基本统计学特性：未缺失值的数值、均值、标准差、范围、四分位数。\n",
    "查看非数值特征的统计数据时，需要通过include参数显式指定包含的数据类型(后续例子)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>3.613524</td>\n",
       "      <td>11.347826</td>\n",
       "      <td>11.136779</td>\n",
       "      <td>0.069170</td>\n",
       "      <td>0.554695</td>\n",
       "      <td>6.284634</td>\n",
       "      <td>68.574901</td>\n",
       "      <td>3.795043</td>\n",
       "      <td>9.549407</td>\n",
       "      <td>408.237154</td>\n",
       "      <td>18.083004</td>\n",
       "      <td>356.674032</td>\n",
       "      <td>12.653063</td>\n",
       "      <td>22.532806</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>8.601545</td>\n",
       "      <td>23.310593</td>\n",
       "      <td>6.860353</td>\n",
       "      <td>0.253994</td>\n",
       "      <td>0.115878</td>\n",
       "      <td>0.702617</td>\n",
       "      <td>28.148861</td>\n",
       "      <td>2.105710</td>\n",
       "      <td>8.707259</td>\n",
       "      <td>168.537116</td>\n",
       "      <td>2.280574</td>\n",
       "      <td>91.294864</td>\n",
       "      <td>7.141062</td>\n",
       "      <td>9.197104</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.006320</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.460000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.385000</td>\n",
       "      <td>3.561000</td>\n",
       "      <td>2.900000</td>\n",
       "      <td>1.129600</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>187.000000</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>0.320000</td>\n",
       "      <td>1.730000</td>\n",
       "      <td>5.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.082045</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>5.190000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.449000</td>\n",
       "      <td>5.885500</td>\n",
       "      <td>45.025000</td>\n",
       "      <td>2.100175</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>279.000000</td>\n",
       "      <td>17.000000</td>\n",
       "      <td>375.377500</td>\n",
       "      <td>6.950000</td>\n",
       "      <td>17.025000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.256510</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>9.690000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.538000</td>\n",
       "      <td>6.208500</td>\n",
       "      <td>77.500000</td>\n",
       "      <td>3.207450</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>330.000000</td>\n",
       "      <td>19.000000</td>\n",
       "      <td>391.440000</td>\n",
       "      <td>11.360000</td>\n",
       "      <td>21.200000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>3.677082</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>18.100000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.624000</td>\n",
       "      <td>6.623500</td>\n",
       "      <td>94.075000</td>\n",
       "      <td>5.188425</td>\n",
       "      <td>24.000000</td>\n",
       "      <td>666.000000</td>\n",
       "      <td>20.000000</td>\n",
       "      <td>396.225000</td>\n",
       "      <td>16.955000</td>\n",
       "      <td>25.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>88.976200</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>27.740000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.871000</td>\n",
       "      <td>8.780000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>12.126500</td>\n",
       "      <td>24.000000</td>\n",
       "      <td>711.000000</td>\n",
       "      <td>22.000000</td>\n",
       "      <td>396.900000</td>\n",
       "      <td>37.970000</td>\n",
       "      <td>50.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             CRIM          ZN       INDUS        CHAS         NOX          RM  \\\n",
       "count  506.000000  506.000000  506.000000  506.000000  506.000000  506.000000   \n",
       "mean     3.613524   11.347826   11.136779    0.069170    0.554695    6.284634   \n",
       "std      8.601545   23.310593    6.860353    0.253994    0.115878    0.702617   \n",
       "min      0.006320    0.000000    0.460000    0.000000    0.385000    3.561000   \n",
       "25%      0.082045    0.000000    5.190000    0.000000    0.449000    5.885500   \n",
       "50%      0.256510    0.000000    9.690000    0.000000    0.538000    6.208500   \n",
       "75%      3.677082   12.000000   18.100000    0.000000    0.624000    6.623500   \n",
       "max     88.976200  100.000000   27.740000    1.000000    0.871000    8.780000   \n",
       "\n",
       "              AGE         DIS         RAD         TAX     PTRATIO           B  \\\n",
       "count  506.000000  506.000000  506.000000  506.000000  506.000000  506.000000   \n",
       "mean    68.574901    3.795043    9.549407  408.237154   18.083004  356.674032   \n",
       "std     28.148861    2.105710    8.707259  168.537116    2.280574   91.294864   \n",
       "min      2.900000    1.129600    1.000000  187.000000   12.000000    0.320000   \n",
       "25%     45.025000    2.100175    4.000000  279.000000   17.000000  375.377500   \n",
       "50%     77.500000    3.207450    5.000000  330.000000   19.000000  391.440000   \n",
       "75%     94.075000    5.188425   24.000000  666.000000   20.000000  396.225000   \n",
       "max    100.000000   12.126500   24.000000  711.000000   22.000000  396.900000   \n",
       "\n",
       "            LSTAT        MEDV  \n",
       "count  506.000000  506.000000  \n",
       "mean    12.653063   22.532806  \n",
       "std      7.141062    9.197104  \n",
       "min      1.730000    5.000000  \n",
       "25%      6.950000   17.025000  \n",
       "50%     11.360000   21.200000  \n",
       "75%     16.955000   25.000000  \n",
       "max     37.970000   50.000000  "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 对数值型特征，得到每个特征的描述统计量\n",
    "df.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "此处得到各属性的样本数目、均值、标准差、最小值、1/4分位数（25%）、中位数（50%）、3/4分位数（75%）、最大值\n",
    "可初步了解各特征的分布"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 单变量分布分析\n",
    "对单个变量，可用直方图、箱体图等方式查看其大致分布、是否存在噪声数据点等"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 数值型特征"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 直方图\n",
    "seaborn的distplot方法可以对数值型特征绘制直方图（distribution plot）\n",
    "\n",
    "\n",
    "一、对连续型特征，可以用哪个函数可视化其分布？（给出你最常用的一个即可），并根据代码运行结果给出示例。\n",
    "\n",
    "答：对于连续型特征，通常采用seaborn库里面的distplot函数可视化其分布，代码示例如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 目标y（房屋价格）的直方图／分布\n",
    "fig = plt.figure()\n",
    "sns.distplot(df[\"MEDV\"], bins=30, kde=True)\n",
    "plt.xlabel(\"Median value of owner-occupied homes\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看出，标签y主要集中在20附近，和正态分布比较接近。但较小的值比较密集，较大的值比较散（长尾），取值为最大值50的样本数较多（猜测是对大值做了截断），在模型训练时也可以考虑将y等于50的样本当成outliers（离群点）去掉。\n",
    "纵轴为归一化后的值（概率密度）\n",
    "\n",
    "另外对价格类特征，统称人对数值的敏感程度不是线性，可考虑对其进行log变换(Numpy的log1p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[<matplotlib.axes._subplots.AxesSubplot object at 0x000001A203E9FC48>,\n",
       "        <matplotlib.axes._subplots.AxesSubplot object at 0x000001A203F77148>]],\n",
       "      dtype=object)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#使用DataFrame的hist()方法也可以绘制直方图（histogram）\n",
    "#distplot绘图的纵轴为样本的比例，hist方法绘图的纵轴为样本数目\n",
    "features = [\"MEDV\", \"CRIM\"]  #可以一次指定多个特征\n",
    "df[features].hist()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 箱体图 boxplot& 提琴形图Violinplot\n",
    "箱形图可以可视化特征的分位数等统计量，主要用于离群点的发现。其主要组成部分是箱子（box），须（whisker）和一些单独的数据点（离群值）。\n",
    "\n",
    "箱子显示了分布的四分位距；它的长度由25%（Q1，下四分位数）和75%（Q3，上司分位数）决定。箱中的水平线表示中位数（50%）。\n",
    "\n",
    "从箱子处延伸出来的线被称为须，表示数据点的总体散布，即位于区间(Q1 - 1.5xIQR, Q3 + 1.5xIQR)的数据点，其中IQR是四分位距：IQR= Q3 - Q1。\n",
    "\n",
    "离群值是须之外的数据点，它们作为单独的数据点，沿着中轴绘制。\n",
    "\n",
    "Violinplot结合了箱线图（boxplot）与核密度估计图的特点，可用于一个或多个分类变量情况下，连续变量数据的分布并进行了比较。\n",
    "Violinplot还可以用于观察多个数据分布（如观察某个变量和标签之间的关系，本notebook最后部分）。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, axes = plt.subplots(1, 2, sharey=True, figsize=(6, 4))\n",
    "sns.boxplot(data=df[\"MEDV\"], ax=axes[0]); \n",
    "sns.violinplot(data=df[\"MEDV\"], ax=axes[1]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### 输入属性的直方图／分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"CRIM\"], bins=30, kde=False)\n",
    "plt.xlabel(\"crime rate\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "犯罪率特征的分布是长尾分布，和指数分布比较接近。大部分城镇的犯罪率很低，极少数样本的犯罪率高。\n",
    "可以考虑对该特征进行log(x+1)变换"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEJCAYAAABv6GdPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAX9UlEQVR4nO3df5RcZX3H8feHLAISJQlZaEgCARt/ID0GzgpR1JMCaki1wR6poELAaLRCRQ/H8qP+gFZ6sFWotpbTaMCgglBASSkqMUIpVoMbjTEhWBYIyZKQLJAEkCOa8O0f91m5mczszO7MsNlnP69z5uy9z33uvc8zd/azd5+ZuVcRgZmZ5WWv4W6AmZm1nsPdzCxDDnczsww53M3MMuRwNzPLUMdwNwBg4sSJMW3atOFuhpnZiLJixYrHI6Kz2rI9ItynTZtGd3f3cDfDzGxEkfRIrWUeljEzy5DD3cwsQw53M7MMOdzNzDLkcDczy5DD3cwsQw53M7MMOdzNzDLkcDczy9Ae8Q3VZly3fH3Ddd973KFtbImZ2Z7DZ+5mZhlyuJuZZcjhbmaWIYe7mVmGHO5mZhlyuJuZZcjhbmaWIYe7mVmG6oa7pH0l3Svpl5LWSLo0lX9d0sOSVqbHjFQuSV+W1CNplaRj2t0JMzPbVSPfUH0OOCEinpG0N3CPpO+lZZ+MiJsq6p8MTE+P44Cr0k8zM3uR1D1zj8IzaXbv9IgBVpkLXJvW+ykwTtKk5ptqZmaNamjMXdIYSSuBLcDSiFieFl2Whl6ulLRPKpsMbCit3pvKKre5QFK3pO6+vr4mumBmZpUaCveI2BkRM4ApwLGSjgIuAl4NvB6YAFyQqqvaJqpsc2FEdEVEV2dn55Aab2Zm1Q3q0zIRsQ24C5gdEZvS0MtzwDXAsalaLzC1tNoUYGML2mpmZg1q5NMynZLGpen9gJOA+/vH0SUJOAVYnVZZApyZPjUzE9geEZva0nozM6uqkU/LTAIWSxpD8cfgxoi4TdKPJHVSDMOsBD6S6t8OzAF6gGeBs1vfbDMzG0jdcI+IVcDRVcpPqFE/gHOab5qZmQ2Vv6FqZpYhh7uZWYYc7mZmGXK4m5llyOFuZpYhh7uZWYYc7mZmGXK4m5llyOFuZpYhh7uZWYYc7mZmGXK4m5llyOFuZpYhh7uZWYYc7mZmGXK4m5llyOFuZpYhh7uZWYYc7mZmGaob7pL2lXSvpF9KWiPp0lR+uKTlkh6QdIOkl6TyfdJ8T1o+rb1dMDOzSo2cuT8HnBARrwNmALMlzQQ+D1wZEdOBrcD8VH8+sDUi/hi4MtUzM7MXUd1wj8IzaXbv9AjgBOCmVL4YOCVNz03zpOUnSlLLWmxmZnU1NOYuaYyklcAWYCnwILAtInakKr3A5DQ9GdgAkJZvBw6sss0Fkroldff19TXXCzMz20VD4R4ROyNiBjAFOBZ4TbVq6We1s/TYrSBiYUR0RURXZ2dno+01M7MGDOrTMhGxDbgLmAmMk9SRFk0BNqbpXmAqQFp+APBkKxprZmaNaeTTMp2SxqXp/YCTgLXAncC7U7V5wK1pekmaJy3/UUTsduZuZmbt01G/CpOAxZLGUPwxuDEibpN0H/BtSZ8DfgEsSvUXAd+Q1ENxxn5aG9ptZmYDqBvuEbEKOLpK+UMU4++V5b8FTm1J68zMbEj8DVUzsww53M3MMuRwNzPLkMPdzCxDDnczsww53M3MMuRwNzPLkMPdzCxDDnczsww53M3MMuRwNzPLkMPdzCxDDnczsww53M3MMuRwNzPLkMPdzCxDDnczsww53M3MMtTIDbKnSrpT0lpJaySdl8ovkfSopJXpMae0zkWSeiT9WtLb29kBMzPbXSM3yN4BnB8RP5f0MmCFpKVp2ZUR8YVyZUlHUtwU+7XAIcAPJb0yIna2suFmZlZb3TP3iNgUET9P008Da4HJA6wyF/h2RDwXEQ8DPVS5kbaZmbXPoMbcJU0DjgaWp6JzJa2SdLWk8alsMrChtFovA/8xMDOzFms43CWNBW4GPh4RTwFXAa8AZgCbgC/2V62yelTZ3gJJ3ZK6+/r6Bt1wMzOrraFwl7Q3RbB/KyJuAYiIzRGxMyKeB77KC0MvvcDU0upTgI2V24yIhRHRFRFdnZ2dzfTBzMwqNPJpGQGLgLURcUWpfFKp2ruA1Wl6CXCapH0kHQ5MB+5tXZPNzKyeRj4tczxwBvArSStT2cXA6ZJmUAy5rAM+DBARayTdCNxH8Umbc/xJGTOzF1fdcI+Ie6g+jn77AOtcBlzWRLvMzKwJ/oaqmVmGHO5mZhlyuJuZZcjhbmaWIYe7mVmGHO5mZhlyuJuZZcjhbmaWIYe7mVmGHO5mZhlyuJuZZcjhbmaWIYe7mVmGHO5mZhlyuJuZZcjhbmaWIYe7mVmGHO5mZhlyuJuZZahuuEuaKulOSWslrZF0XiqfIGmppAfSz/GpXJK+LKlH0ipJx7S7E2ZmtqtGztx3AOdHxGuAmcA5ko4ELgSWRcR0YFmaBzgZmJ4eC4CrWt5qMzMbUN1wj4hNEfHzNP00sBaYDMwFFqdqi4FT0vRc4Noo/BQYJ2lSy1tuZmY1DWrMXdI04GhgOXBwRGyC4g8AcFCqNhnYUFqtN5VVbmuBpG5J3X19fYNvuZmZ1dRwuEsaC9wMfDwinhqoapWy2K0gYmFEdEVEV2dnZ6PNMDOzBjQU7pL2pgj2b0XELal4c/9wS/q5JZX3AlNLq08BNramuWZm1ohGPi0jYBGwNiKuKC1aAsxL0/OAW0vlZ6ZPzcwEtvcP35iZ2Yujo4E6xwNnAL+StDKVXQxcDtwoaT6wHjg1LbsdmAP0AM8CZ7e0xWZmVlfdcI+Ie6g+jg5wYpX6AZzTZLvMzKwJ/oaqmVmGHO5mZhlyuJuZZcjhbmaWIYe7mVmGHO5mZhlyuJuZZcjhbmaWIYe7mVmGHO5mZhlyuJuZZcjhbmaWIYe7mVmGHO5mZhlyuJuZZcjhbmaWIYe7mVmGHO5mZhlyuJuZZahuuEu6WtIWSatLZZdIelTSyvSYU1p2kaQeSb+W9PZ2NdzMzGpr5Mz968DsKuVXRsSM9LgdQNKRwGnAa9M6/yZpTKsaa2Zmjakb7hFxN/Bkg9ubC3w7Ip6LiIeBHuDYJtpnZmZD0MyY+7mSVqVhm/GpbDKwoVSnN5XtRtICSd2Suvv6+ppohpmZVRpquF8FvAKYAWwCvpjKVaVuVNtARCyMiK6I6Ors7BxiM8zMrJohhXtEbI6InRHxPPBVXhh66QWmlqpOATY210QzMxusIYW7pEml2XcB/Z+kWQKcJmkfSYcD04F7m2uimZkNVke9CpKuB2YBEyX1Ap8FZkmaQTHksg74MEBErJF0I3AfsAM4JyJ2tqfpZmZWS91wj4jTqxQvGqD+ZcBlzTTKzMya42+ompllyOFuZpYhh7uZWYYc7mZmGXK4m5llyOFuZpYhh7uZWYYc7mZmGXK4m5llyOFuZpYhh7uZWYYc7mZmGXK4m5llyOFuZpYhh7uZWYYc7mZmGXK4m5llyOFuZpYhh7uZWYbqhrukqyVtkbS6VDZB0lJJD6Sf41O5JH1ZUo+kVZKOaWfjzcysukbO3L8OzK4ouxBYFhHTgWVpHuBkYHp6LACuak0zzcxsMOqGe0TcDTxZUTwXWJymFwOnlMqvjcJPgXGSJrWqsWZm1pihjrkfHBGbANLPg1L5ZGBDqV5vKtuNpAWSuiV19/X1DbEZZmZWTavfUFWVsqhWMSIWRkRXRHR1dna2uBlmZqPbUMN9c/9wS/q5JZX3AlNL9aYAG4fePDMzG4qhhvsSYF6angfcWio/M31qZiawvX/4xszMXjwd9SpIuh6YBUyU1At8FrgcuFHSfGA9cGqqfjswB+gBngXObkObzcysjrrhHhGn11h0YpW6AZzTbKPMzKw5/oaqmVmGHO5mZhlyuJuZZcjhbmaWIYe7mVmGHO5mZhlyuJuZZcjhbmaWIYe7mVmGHO5mZhlyuJuZZcjhbmaWIYe7mVmGHO5mZhlyuJuZZcjhbmaWIYe7mVmGHO5mZhlyuJuZZajuPVQHImkd8DSwE9gREV2SJgA3ANOAdcBfRsTW5pppZmaD0Yoz9z+NiBkR0ZXmLwSWRcR0YFmaNzOzF1E7hmXmAovT9GLglDbsw8zMBtBsuAdwh6QVkhaksoMjYhNA+nlQtRUlLZDULam7r6+vyWaYmVlZU2PuwPERsVHSQcBSSfc3umJELAQWAnR1dUWT7TAzs5KmztwjYmP6uQX4DnAssFnSJID0c0uzjTQzs8EZcrhL2l/Sy/qngbcBq4ElwLxUbR5wa7ONNDOzwWlmWOZg4DuS+rdzXUR8X9LPgBslzQfWA6c230wzMxuMIYd7RDwEvK5K+RPAic00yszMmuNvqJqZZcjhbmaWoWY/CmnD4Lrl6xuq997jDm1zS8xsT+UzdzOzDDnczcwy5HA3M8uQw93MLEMOdzOzDDnczcwy5HA3M8uQw93MLEMOdzOzDPkbqma2x/C3r1vHZ+5mZhlyuJuZZcjhbmaWIY+5N2FPHx9stH3QeBv39D6bWcFn7mZmGfKZu7VFq8/wB/NfSCv3azZStS3cJc0GvgSMAb4WEZe3a19mZs3IcbixLeEuaQzwFeCtQC/wM0lLIuK+duzPmtfqM+OcDNd/DcMVOO14LYykUBxIO97Hapd2nbkfC/RExEMAkr4NzAUc7gNwwJo1ZiScaQ93GxURrd+o9G5gdkR8MM2fARwXEeeW6iwAFqTZVwG/HuLuJgKPN9Hckch9Hh3c59GhmT4fFhGd1Ra068xdVcp2+SsSEQuBhU3vSOqOiK5mtzOSuM+jg/s8OrSrz+36KGQvMLU0PwXY2KZ9mZlZhXaF+8+A6ZIOl/QS4DRgSZv2ZWZmFdoyLBMROySdC/yA4qOQV0fEmnbsixYM7YxA7vPo4D6PDm3pc1veUDUzs+Hlyw+YmWXI4W5mlqERHe6SZkv6taQeSRcOd3vaQdJUSXdKWitpjaTzUvkESUslPZB+jh/utraSpDGSfiHptjR/uKTlqb83pDfqsyFpnKSbJN2fjvUbRsEx/kR6Ta+WdL2kfXM7zpKulrRF0upSWdXjqsKXU56tknRMM/seseFeusTBycCRwOmSjhzeVrXFDuD8iHgNMBM4J/XzQmBZREwHlqX5nJwHrC3Nfx64MvV3KzB/WFrVPl8Cvh8RrwZeR9H3bI+xpMnAx4CuiDiK4oMXp5Hfcf46MLuirNZxPRmYnh4LgKua2fGIDXdKlziIiN8B/Zc4yEpEbIqIn6fppyl+6SdT9HVxqrYYOGV4Wth6kqYAfwZ8Lc0LOAG4KVXJrb8vB94CLAKIiN9FxDYyPsZJB7CfpA7gpcAmMjvOEXE38GRFca3jOhe4Ngo/BcZJmjTUfY/kcJ8MbCjN96aybEmaBhwNLAcOjohNUPwBAA4avpa13D8DfwM8n+YPBLZFxI40n9uxPgLoA65JQ1Ffk7Q/GR/jiHgU+AKwniLUtwMryPs496t1XFuaaSM53Ote4iAnksYCNwMfj4inhrs97SLpHcCWiFhRLq5SNadj3QEcA1wVEUcDvyGjIZhq0jjzXOBw4BBgf4phiUo5Hed6Wvo6H8nhPmoucSBpb4pg/1ZE3JKKN/f/y5Z+bhmu9rXY8cCfS1pHMdR2AsWZ/Lj07zvkd6x7gd6IWJ7mb6II+1yPMcBJwMMR0RcRvwduAd5I3se5X63j2tJMG8nhPioucZDGmxcBayPiitKiJcC8ND0PuPXFbls7RMRFETElIqZRHNMfRcT7gDuBd6dq2fQXICIeAzZIelUqOpHi8thZHuNkPTBT0kvTa7y/z9ke55Jax3UJcGb61MxMYHv/8M2QRMSIfQBzgP8DHgT+drjb06Y+voniX7NVwMr0mEMxDr0MeCD9nDDcbW1D32cBt6XpI4B7gR7gP4B9hrt9Le7rDKA7HefvAuNzP8bApcD9wGrgG8A+uR1n4HqK9xR+T3FmPr/WcaUYlvlKyrNfUXySaMj79uUHzMwyNJKHZczMrAaHu5lZhhzuZmYZcribmWXI4W5mliGHuzVE0vsk3TEM+z0+XT3vGUltu86IpEPTPsbUWH6JpG+2ad8NP7cDtUPSLEm9rW1d/f3uCfb09g0Hh7vtRtI0SVH6piAR8a2IeNswNOfvgH+NiLER8d127SQi1qd97GzXPmCPe24tYw73EaAcBDntq0GHAQ3df3cPbLvZsHG4DxNJ6yRdJOk+SVslXSNp37RslqReSRdIegy4JpV/KF3I/0lJSyQdUtpeSPqYpIckPS7pnyTtlZbtJelTkh5JNw64VtIBaVn/meR8SeuBHwF3p81uS0MVb5B0lqR7Svt7o6SfSdqefr6xtOwuSX8v6ceSnpZ0h6SJAzwXVfsl6UGKbyz+Z2rHPjWexwskrQJ+I6lD0iGSbpbUJ+lhSR8r1T9WUrekpyRtlnRFxfPQkeYPl/Tfqf1LgYkV+50p6X8lbZP0S0mzGux/I8/tlyRtSG1cIenNtZ67gUi6UNKDqQ33SXpXadlZku6R9IX0+ntY0sml5QP2v2I//cen//G8pLPSsiG/Tuo8xw23b9Qa7q/njtYHsI7ia9dTgQnAj4HPpWWzKG7S8XmKr2TvR3EBrccpLii1D/AvwN2l7QXFdTkmAIdSXJbhg2nZByi+zn0EMJbiIk3fSMumpXWvpbgy336lso7S9s8C7knTEyhupHAGxRUNT0/zB6bld1F8hfqVaXt3AZfXeB7q9WsdcFKd53Fleh73ozhhWQF8BnhJ6vNDwNtT/Z8AZ6TpscDMiueho1TvitSmtwBPA99MyyYDT1BcBmIv4K1pvrNe/+s9t2n+/RRfUe8AzgceA/ZNyy7pb0eV52IWxQXI+udPpbji4l7AeyiuNjmptM/fAx+iuFHGX1FcpEr1+l/ndT07baf/dT2k10kDz/GQ2jeaHsPegNH6oAilj5Tm5wAPpulZwO/6f6FT2SLgH0vzY9Mv57Q0H8Ds0vKPUtztBYrrV3y0tOxVad2OUtgcUVo+YAClX9Z7K/rzE+CsNH0X8KmKtny/xvNQr1/rqB/uHyjNHwesr6hzEXBNmr6b4pomEyvq/KHPFH8cdwD7l5ZfxwvhfgHpj2Np+Q+AefX6X++5rdHHrcDr0vQltUKMinCvsnwlMLe0z57Sspemdv1Rvf4PsP1XUlzh8M3Nvk4Geo6H2r7R9vCwzPAqX5j/EYqzrH59EfHb0vwhqQ4AEfEMxZlM+WL+tba3y7ppugM4uMa69VRur3+b5bY8Vpp+liK0626rRr/qKbf9MOCQ9K/8NknbgIt5oa/zKULo/jRM8I4abdoaEb8plZX7exhwasU+3gSU75rTaP93I+l8FfdR3Z62fQBDGHaQdKaklaU2HlWxnT+0MSKeTZNjqd//avs6gOLqhp+OiP9Jxc28TgZ6jgfdvtHIb0ANr/K1mw9l12s3V17RbSPFCx4AFXfqORB4tGJ7/W8+lre3y7q8cOazmeKa0ZX7q3c1ucrt9W/z+3XWq7utGv2qp9zeDRTXCZ9etWLEAxT3290L+AvgJkkHVlTbBIyXtH8pQA4t7WcDxVnlhwbRxmpt3U0aX7+A4hK4ayLieUlbqX4jh4G2cxjw1bSdn0TETkkrG9xOvf5X7msvijPnOyPi30uLmnmd1HyOU98abt9o5TP34XWOpCmSJlCcXd4wQN3rgLMlzUhvLP4DsDwi1pXqfFLSeElTKW4w3b+964FPpDehxqZ1b4gXbmdWqY/iFndH1Fh+O/BKSe9V8QbmeyhuUn5b3R4PrV+DcS/wlIo3WfeTNEbSUZJeDyDp/ZI6I+J5YFtaZ5ePP0bEIxSX371U0kskvQl4Z6nKN4F3Snp72v6+Kt4En0J99Z7bl1H84e0DOiR9Bnh5Y13fxf4UYdcHIOlsijP3uhrof6XL0v7Oqyhv5nVS8zkeQvtGJYf78LoOuIPiDb+HgM/VqhgRy4BPU9yRaRPwCoqbWZTdSvFm4krgv0g3XAauprhe9t3Aw8Bvgb8eYF/PUvzC/jj9SzyzYvkTwDso3ux7guJ+p++IiMfr9nho/RrM9nZS/KLPoOjr4xQ32j4gVZkNrJH0DPAl4LSK4a9+76UYv38S+CzFG879+9hAcYu4iynCcwPwSRr4far33FKMK3+P4g3xRyiO1WCGzPr3cx/wRYox7s3An1C8ad+omv2v4nRgJrC19ImZ9zXzOmngOR5M+0YlX899mKi4jdwHI+KHLdpeANMjoqcV2zOzkc1n7mZmGXK4m5llyMMyZmYZ8pm7mVmGHO5mZhlyuJuZZcjhbmaWIYe7mVmG/h9o0Y6RARQNiwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"ZN\"], bins=30, kde=False)\n",
    "plt.xlabel(\"proportion of residential land zoned\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"INDUS\"], bins=30, kde=False)\n",
    "plt.xlabel(\"proportion of non-retail business acres\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 离散型特征（类别型特征）\n",
    "对离散型特征，可用频率表value_counts给出每个特征取值的样本数目。\n",
    "或者采用countplot方法绘制直方图。 "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 频率表 value_counts()\n",
    "默认情况下，频率由高到低排列。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    471\n",
       "1     35\n",
       "Name: CHAS, dtype: int64"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[\"CHAS\"].value_counts()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 条形图 countplot\n",
    "频率表的图形化表示是条形图\n",
    "\n",
    "seaborn中还有一个函数，起了一个令人困惑的名字（barplot()），barplot()绝大部分情况下用于表示以某个类别特征分组的数值变量的一些基本统计数据。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#离散型/类别型特征的分布可用countplot(纵轴为样本数目)\n",
    "sns.countplot(df[\"CHAS\"], order=[0, 1]);\n",
    "plt.xlabel(\"Charles River\");\n",
    "plt.ylabel(\"Number of occurrences\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "条形图countplot和直方图distplot看起来很像，都用于观察特征的分布，不同点：\n",
    "1. 直方图用于查看数值变量的分布，而条形图用于类别特征。\n",
    "2. 直方图的X轴是数值；条形图的X轴可能是任何类型：数字、字符串、布尔值。\n",
    "3. 直方图的X轴是笛卡尔坐标轴；条形的顺序没有事先定义。不过条形经常按照高度排序，也就是值的频率。如果是有序变量，条形通常按照变量的值排序。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAAEJCAYAAACNNHw2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAATMklEQVR4nO3de7SldV3H8feHmxSggBwIGMbxQgS28tIktlwWibYAE1grL+Cl0cjprpZmZLWii5atym5WTmhMGjcthehihJBZig6hFQ4EEgzEZUZkEmplDn3743mObg7nzH5m5ux9+J3zfq111tnPZe/9/e0985nf/J7n+T2pKiRJ7dlrqQuQJO0eA1ySGmWAS1KjDHBJapQBLkmN2meab3bYYYfVmjVrpvmWktS866677vNVNTN3/VQDfM2aNWzatGmabylJzUty+3zrHUKRpEYZ4JLUKANckhplgEtSowxwSWqUAS5JjTLAJalRBrgkNcoAl6RGTfVKzBZdeO2Wwfu+/MTVE6xEkh7OHrgkNcoAl6RGGeCS1CgDXJIaZYBLUqMMcElqlAEuSY0ywCWpUQa4JDXKAJekRhngktSoQXOhJLkNeAB4CNhRVWuTHApcAqwBbgNeWlX3T6ZMSdJcu9ID/46qenpVre2XzwWuqqpjgav6ZUnSlOzJEMoZwMb+8UbgzD0vR5I01NAAL+BvklyXZH2/7oiquhug/334fE9Msj7JpiSbtm3btucVS5KA4fOBP6eq7kpyOHBlkhuHvkFVbQA2AKxdu7Z2o0ZJ0jwG9cCr6q7+91bgg8CzgHuTHAnQ/946qSIlSY80NsCTHJDkoNnHwHcC/wpcDqzrd1sHXDapIiVJjzRkCOUI4INJZve/sKr+OsmngEuTnANsAV4yuTIlSXONDfCquhV42jzr7wNOnkRRkqTxvBJTkhplgEtSowxwSWqUAS5JjTLAJalRBrgkNcoAl6RGGeCS1CgDXJIaZYBLUqMMcElqlAEuSY0ywCWpUQa4JDXKAJekRhngktQoA1ySGmWAS1KjDHBJapQBLkmNMsAlqVEGuCQ1ygCXpEYZ4JLUKANckhplgEtSowxwSWqUAS5JjTLAJalRgwM8yd5Jrk9yRb/8xCTXJrk5ySVJ9ptcmZKkuXalB/56YPPI8tuBd1TVscD9wDmLWZgkaecGBXiSVcALgfP75QDPAz7Q77IROHMSBUqS5rfPwP1+E3gzcFC//Hhge1Xt6JfvBI6e74lJ1gPrAVavXr37lWpqLrx2y6D9Xn6i36e0lMb2wJN8F7C1qq4bXT3PrjXf86tqQ1Wtraq1MzMzu1mmJGmuIT3w5wCnJzkN2B94LF2P/OAk+/S98FXAXZMrU5I019geeFX9VFWtqqo1wFnAR6rqFcDVwIv73dYBl02sSknSI+zJeeA/Cfx4klvoxsTfvTglSZKGGHoQE4Cquga4pn98K/CsxS9JkjSEV2JKUqMMcElqlAEuSY0ywCWpUQa4JDXKAJekRhngktQoA1ySGmWAS1KjDHBJapQBLkmNMsAlqVEGuCQ1ygCXpEYZ4JLUKANckhplgEtSowxwSWqUAS5JjTLAJalRBrgkNWqX7kqv6brw2i2D9nv5iasnXImkRyN74JLUKANckhplgEtSo5bdGLjjxpJWCnvgktQoA1ySGmWAS1Kjlt0YuNrmMQxpuLE98CT7J/lkks8kuSHJz/frn5jk2iQ3J7kkyX6TL1eSNGvIEMqXgOdV1dOApwOnJHk28HbgHVV1LHA/cM7kypQkzTU2wKvzYL+4b/9TwPOAD/TrNwJnTqRCSdK8Bh3ETLJ3kk8DW4Ergc8B26tqR7/LncDRCzx3fZJNSTZt27ZtMWqWJDEwwKvqoap6OrAKeBZw/Hy7LfDcDVW1tqrWzszM7H6lkqSH2aXTCKtqO3AN8Gzg4CSzZ7GsAu5a3NIkSTsz5CyUmSQH94+/Bng+sBm4Gnhxv9s64LJJFSlJeqQh54EfCWxMsjdd4F9aVVck+SxwcZJfAq4H3j3BOhfd0PONW+C509LKNDbAq+qfgWfMs/5WuvFwSdIS8FJ6SWqUAS5JjTLAJalRBrgkNcoAl6RGOZ3sCrKcTp2UZA9ckpplgEtSowxwSWqUAS5JjTLAJalRBrgkNcoAl6RGeR64mrQSp9BdiW3WztkDl6RGGeCS1CgDXJIa5Ri4tMw4Vr5y2AOXpEYZ4JLUKANckhplgEtSowxwSWqUAS5JjfI0Qi1rnlKn5cweuCQ1ygCXpEYZ4JLUKANckho1NsCTHJPk6iSbk9yQ5PX9+kOTXJnk5v73IZMvV5I0a0gPfAfwxqo6Hng28MNJTgDOBa6qqmOBq/plSdKUjA3wqrq7qv6pf/wAsBk4GjgD2NjvthE4c1JFSpIeaZfOA0+yBngGcC1wRFXdDV3IJzl8geesB9YDrF69vM+19ZxjSdM0+CBmkgOBPwXeUFVfHPq8qtpQVWurau3MzMzu1ChJmsegAE+yL114/0lV/Vm/+t4kR/bbjwS2TqZESdJ8hpyFEuDdwOaq+o2RTZcD6/rH64DLFr88SdJChoyBPwd4FfAvST7dr3sL8CvApUnOAbYAL5lMiZKk+YwN8Kr6GJAFNp+8uOVIkobySkxJapQBLkmNMsAlqVEGuCQ1ygCXpEYZ4JLUKANckhplgEtSowxwSWrULk0nK0n6qqWeQtoeuCQ1ygCXpEYZ4JLUKMfApV0wdMwTvHWeJs8euCQ1ygCXpEYZ4JLUqGbGwHdl7FGSVgJ74JLUKANckhplgEtSo5oZA9ejj+dEt22p5/HQnrMHLkmNMsAlqVEGuCQ1ygCXpEYZ4JLUKANckhplgEtSo8YGeJL3JNma5F9H1h2a5MokN/e/D5lsmZKkuYb0wC8ATpmz7lzgqqo6FriqX5YkTdHYAK+qjwJfmLP6DGBj/3gjcOYi1yVJGmN3L6U/oqruBqiqu5McvtCOSdYD6wFWr/aSXK0cXqquSZv4Qcyq2lBVa6tq7czMzKTfTpJWjN0N8HuTHAnQ/966eCVJkobY3QC/HFjXP14HXLY45UiShhpyGuFFwMeB45LcmeQc4FeAFyS5GXhBvyxJmqKxBzGr6uwFNp28yLVIknaBV2JKUqMMcElqlLdUk5bYrtya7tHMW+xNnz1wSWqUAS5JjTLAJalRjoFrKpbLOK/0aGIPXJIaZYBLUqMMcElqlGPgS8DxYEmLwR64JDXKAJekRhngktQox8AlPC6hNtkDl6RGGeCS1CgDXJIaZYBLUqMMcElqlAEuSY0ywCWpUQa4JDXKAJekRhngktQoA1ySGmWAS1KjDHBJapQBLkmNMsAlqVF7FOBJTklyU5Jbkpy7WEVJksbb7QBPsjfwTuBU4ATg7CQnLFZhkqSd25Me+LOAW6rq1qr6X+Bi4IzFKUuSNM6e3FLtaOCOkeU7gRPn7pRkPbC+X3wwyU178J7jHAZ8foKv/2hm21eeqbT7FY/O12zqO1+E9j5hvpV7EuCZZ109YkXVBmDDHrzPYEk2VdXaabzXo41tX3ltX6nthpXd9lF7MoRyJ3DMyPIq4K49K0eSNNSeBPingGOTPDHJfsBZwOWLU5YkaZzdHkKpqh1JfgT4MLA38J6qumHRKts9UxmqeZSy7SvPSm03rOy2f0WqHjFsLUlqgFdiSlKjDHBJalSTAT70Ev4kL05SSZbN6Ubj2p7k1Um2Jfl0//N9S1HnYhvynSd5aZLPJrkhyYXTrnFSBnzn7xj5vv8tyfalqHMSBrR9dZKrk1yf5J+TnLYUdS6Zqmrqh+6A6eeAJwH7AZ8BTphnv4OAjwKfANYudd3TajvwauB3l7rWJWj3scD1wCH98uFLXfe02j5n/x+lO6FgyWuf0ve+AfjB/vEJwG1LXfc0f1rsgQ+9hP8XgV8F/meaxU3YSp2+YEi7Xwu8s6ruB6iqrVOucVJ29Ts/G7hoKpVN3pC2F/DY/vHjWGHXorQY4PNdwn/06A5JngEcU1VXTLOwKRjb9t539/+d/ECSY+bZ3poh7f564OuT/EOSTyQ5ZWrVTdbQ75wkTwCeCHxkCnVNw5C2nwe8MsmdwF/S/Q9kxWgxwHd6CX+SvYB3AG+cWkXTM2T6gj8H1lTVNwF/C2yceFWTN6Td+9ANo5xE1ws9P8nBE65rGgZNWdE7C/hAVT00wXqmaUjbzwYuqKpVwGnAe/sMWBFabOi4S/gPAr4RuCbJbcCzgcuXyYHMsdMXVNV9VfWlfvEPgW+eUm2TNGTahjuBy6rqy1X178BNdIHeul2ZsuIsls/wCQxr+znApQBV9XFgf7qJrlaEFgN8p5fwV9V/VtVhVbWmqtbQHcQ8vao2LU25i2rs9AVJjhxZPB3YPMX6JmXItA0fAr4DIMlhdEMqt061yskYNGVFkuOAQ4CPT7m+SRrS9i3AyQBJjqcL8G1TrXIJNRfgVbUDmL2EfzNwaVXdkOQXkpy+tNVN1sC2v64/je4zwOvozkpp2sB2fxi4L8lngauBn6iq+5am4sWzC3/ezwYurv50jOVgYNvfCLy2//N+EfDq5fQZjOOl9JLUqOZ64JKkjgEuSY0ywCWpUQa4JDXKAJekRhngK1SS5ya5aRefszrJg0n2nlRd87zng0metMC2Vyf52LRqWSmSvCXJ+Utdh8YzwFeoqvr7qjpudjnJbUmeP+Y5W6rqwGleqt2/33K4IGfRJTkvyfv28DVO6ucR+YqqeltVLYtpiJc7A1yDJNnt+6dqaaTj3/FlzC93Get71W/qZyb8zySXJNm/3/aVnleS9wKrgT/vhyzenGRNfzOMc5JsAT4ysm6f/nmHJvmjJHcluT/JhxaoY68kP5Pk9iRbk/xxksf1216W5NYkj+2XT01yT5KZfrmSPKV//Pgklyf5YpJPAk+e8z7fkOTKJF/obwLw0pFtp6W72cMDSf4jyZt28rm9Nsnmft/PJnlmv/74JNck2d5f7Xr6yHMuSPLOJH/RP+/aJE8e2f7UkdruTfKWkc/m3CSfS3JfkkuTHNpvm/281yXZkuTzSX6633YK8BbgZf139pl+/TVJ3prkH4D/Bp6U5DUj7bk1yff3+x4A/BVwVP8aDyY5am7PPsnpfXu3969//EKfnaZsqSck92dyP8BtwCeBo4BD6S5H/oF+20nAnXP2ff7I8hq6md/+GDgA+JqRdfv0+/wFcAndHBz7At++QB3fC9xCNzH/gcCfAe8d2f4nwAXA4+kmK/qukW0FPKV/fDHdxEUH0E1Y9h/Ax/ptB9BNPfoaupkJnwl8Hnhqv/1u4Ln940OAZy5Q60v61/0WutnwngI8oW/fLXShuR/wPOAB4Lj+eRcAX6Cbw3qfvk0X99sO6t//jXRzdRwEnNhvewPdfD2rgMcA7wIumvMd/GH/+T8N+BJwfL/9POB9c+q/hm5+kKf2dewLvJDuH7sA304X7M+c78/B3Nelm1Pmv4AX9K/15v5z2G+p/3z7Uwb4cv6hC+VXjiz/KvAH/eOH/cVl4QB/0jzr9gGOBP6P/g44Y+q4CvihkeXjgC/z1X8IDu5D51+Ad815bvUhunf/nG8Y2fY2vhrgLwP+fs5z3wX8XP94C/D9wGPH1Pph4PXzrH8ucA+w18i6i4Dz+scXAOePbDsNuLF/fDZw/QLvtxk4eWT5yNnPZuTzXjWy/ZPAWf3jhQL8F8a08UOzbRwQ4D9LNwfJ7La96P6BO2mp/3z70+YdebRr7hl5/N90PeBdcccC648BvlD9HXDGOAq4fWT5drqAOgKgqrYD76frVf/6Aq8x0z9ntJ7R13wCcGL/3/zt6e4L+Qrg6/rt300Xqrcn+bsk37qTdn1ugTbcUVX/N+f9R28wsNBnvdBrztb9wZGaNwMP0X82Y153IQ/7zvphqU/0wzfb6T6HoVOuPuy769t/BwvcVELTZYBr1kKzmi20/g7g0Ay7acJddEE1azWwA7gXIMnT6YZZLgJ+e4HX2NY/Z3R+6NVz6vm7qjp45OfAqvpBgKr6VFWdARxO1wO9dCftevI86+8CjplzUHA1XW90nIVec3bbqXPq3r+qhrzu2O8syWOAPwV+DTiiqg6mu3NN5u67gId9d0lC9x0MqU8TZoBr1r10Y9SDVNXddAfAfi/JIUn2TfJtC+x+EfBj6eZ1PpBu6OOSqtrRH1R9H93Y8muAo5P80Dzv9xDd2Pl5Sb42yQnAupFdrqC7pdqr+lr2TfIt/YHH/ZK8IsnjqurLwBfpernzOR94U5JvTucp6W5Vdi3dWPCb+9c+CXgR3bj8OFcAX5fkDUkek+SgJCf22/4AeGv/HiSZSTL0Pqf3Amuy8zNN9qMbW98G7EhyKvCdc17j8ekPKs/jUuCFSU5Osi/dOP6XgH8cWKMmyADXrF8Gfqb/r/yCZ2jM8Sq68dobga10B+Tm8x7gvcBHgX+nu9H07L0Lf5luDPb3q7uT0CuBX0oy3910foRu+OAeujHnP5rdUFUP0AXTWXS9xnuAt9OF12yttyX5IvAD/fs8QlW9H3grcCHdQcoPAYdWd1Pd04FT6Q6O/h7wPVV14wJtHn3NB+gOAr6or+tm+ptPAL9Fd5OCv0nyAN0BzRPne515vL//fV+Sf9rJe7+OLojvB17Ow2+AciPdP7C39t/9UXOefxPdZ/U7dO1+EfCi/vPQEnM+cElqlD1wSWqUAS5JjTLAJalRBrgkNcoAl6RGGeCS1CgDXJIaZYBLUqP+H8LUHMOBCqOMAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"NOX\"], bins=30, kde=False)\n",
    "plt.xlabel(\"nitric oxides concentratio\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AJ4y5ppGpqrOq6nFVdSTwA2DK/nAwxAGoqjdX1dKqWk73lfSzVbUg/8sn2S3JgyeGgd+j+/q2oFTV94Ebkxzc7joauHqMJY3aCSzQrpTmBuCIJLsmCd32vGbMNY1Mkn3a7TLgeWxm23p0yvZnX+D87nPAYuDsqrpovCWNzKuBj7SuhuuAl465npFo/aZPAV4+7lpGparWJDkP+Apd18IVLOyf3388yV7AL4BXVtVt083oz+4lqcfsTpGkHjPEJanHDHFJ6jFDXJJ6zBCXpB4zxDUWSd4yzh9UJXlbkluSfH9cNfRNkg8keds8P2cledTk50/y20m+OZ/LWqg8TlzbnSQPA94AHNh+taptTFX9P+DgGWeULfFtWTtbm2Ywh9fpQODWYQN8oW+HdMyCnnLDzVGSU5J8J8mPk1yd5Lnt/p2S3N7OCTwx75Ikdw78lPZZ7QT+tyf5YpL/NDDvuiRvSvI14KdJFk+3rDb/oiTvbF0D303yqvYVdXGb/pAkZyXZkOR7rRth0TTr9JYk5yb5YFvW15OsGJh+71ffNj749fdJSdYneWOSjW15xyZ5RpJvJflBklMnLXLnJOe0ZX0lyWMGnnv/JB9Psqmt12sm1Xlekg8n+RHwkinW5SFtPTYluT7JnybZIcmT6U4stH+SnyT5wBSPnViXN7Xulve3+1+W5NttXS5Msv/AY56Q5MtJfthunzAw7dL2un+xLfMf052h7iPpLuLw5STL27xJ8q72Gv4wydcG30uT6rw0yTuSfKnNe0GSPQemH9GWeXuSryZ50qTHvj3JvwJ30J31cfLzP7Ztlx8nOQfYeWDa55P85zb8W+298Yw2/uQkVw7M+4fpLspxW5JPJzlwqvWZahsMjK9L8ift9fhhe98M1vPG9p67KckfTX6vLmhV5d8c/oDj6c6mtgPwfLqz5O3Xpr0PePvAvK+kuzgBdCdh2ggcDiwCVgLrgJ3a9HXAlXSnntxliGW9gu6cIEuBhwL/THeq2cVt+j8AfwfsBuwDfAl4+TTr9BbgZ3SnvlwEvIPuvMYT0wt41MD4B4C3teEn0f0c+s+AB9Gd1H4TcDbwYODX2nM/YmBZvwCOa/P/CfDdNrwDcHl7rh3pAuY64KmTHntsm3eXKdblg8AFbdnLgW8BJw3Uun4z23ZiXU4HdgJ2AY4Cbmnbbyfgr4AvtPn3BG4D/oCui/KENr5Xm34p8G3gkcBD2vb6Ft1JnRa3Wt/f5n1qW/c9gNCdW3q/aeq8lO4iEI9u2/fjwIfbtAOAW9u23IHuZ/m3AksGHntD2y6LgQdNeu4dgeuBP27b5Lj2mk9s77cCf9WGTwW+A5w+MO2MNnxsW/dD2nL+FPjiVO8pHvh+Wj8w3zq69+7+7fW+BnhFm/Y04PttXXYFPsSk9+pC/ht7AQvljy54j2nDTwauG5j2r8CL2/B7gP856bHfBH6nDa8D/nAWy/osA6Hcll3tA7Mv8HMGQo4uYD43zfO+BfjngfFDgTsHxmcK8TuBRW38wW3+wwfmvxw4dmBZg/8gdqA7T/Rv0/2Du2FSbW/mvqB7Cy1Ap1mPRW29Dx247+XApQO1zhTidwE7D9x3FvAXA+O/Qhdqy+nC+0uTnuMy4CVt+FLgvw1MeyfwqYHxZwNXtuGj6AL+CGCHGd4HlwKnTdped7X1fxPwoUnzfxpYOfDYt27muY+ku+hCBu774sD2Phr4Whu+CPijie1JdxGD57XhT9H+eQ5s5zvo9kfc7z01xftpcoi/aGD8L4C/bcPvA94xMO1RbEchbnfKHCV5ce7rErmdrjW0d5v8WborkBzevjoexn2XzDoQeMPE49pjH0bXwphw4yyWtf+k+QeHD6RrRW0YeOzf0bXIpzN4tMYddF0ew/YJ31pV97ThO9vt4KlR76QLvwfUWlW/pDt97P6t7v0nvUan0v1TesBjp7A397UkJ1xP1zod1qaq+tnA+P6Dz1dVP6Fr2R4wedo0y5v8Okz5ulTVZ4G/Bv4GuDnJqnRXKZrO4OtwPd323pvuNTx+0mv4W8B+0zx2sv2B71VLxYHnn3AZ8B+S7Ev3/v4g8LAke9Od2vgLbb4DgTMGavgB3TeM2WyLCZPfmxPvpc19Bha8Bb3DZlRaML+XrjVyWVXd0/oAA10gpbsG4Al0H9ZPVtWP28NvpOtqeftmFnHvB2emZdG1XpcOPHbwCiA30rVI967uMk9b6g7uf53KX6UL3rm6t9Z0O9aW0rX+7qY7d/RBm3ns5s7cdgtdK/lA7jv97DK6rodhTX7+m9rzTdS7G7BXe877TRtY3pzODllV7wbenW4fyrnAfwX++zSzD27vZXTrfQvdtv9QVb1sc4vazLQNwAFJMhDky+i6TaiqO5JcTndd2quq6q4kXwReT3eJuInrt0683z+ymWVtqc19BhY8W+JzsxvdB2ATQJKX0rWOB51N13/9wjY84b3AK1orPenO7/3MtHN8z2FZ5wKvTXJAkj3ovkYDUFUbgM8A70yye7ode49M8jtzW22uBE5MtzP1acBcn2fCryd5Xmvpv47uH86/0fV9/ijdjsVd2vIeneQ3hnnS9m3gXODtSR7c/hG+HtiS49LPBl6a5LAkOwH/C1hTVeuAf6JrlZ6Ybkf08+m6Nj4524Uk+Y323ngQ3b6PnwH3bOYhL0pyaLrT0b4VOK+t/4eBZyd5anv9dm47C5du5rkGXUb3z/Q1bZ2exwMvHvJ54FXtFroumsFxgL8F3pzk19r6PSTJ8UPWMKxz6bbNIe11+LN5fv5tmiE+B1V1NV2/5mV0Le3/SNfvPTjPGroP4f50/YIT96+l2+n313Q7v77NFEdXzGJZ76UL6q/RnWP5n+g+fBMf/BfTdS1c3ZZ3Hvf/Sj0br6Xrv72d7p/TP8zxeSZcQPePbmKn4POq6hcthJ5N9zX9u3QtyzPpdgoO69V0r/91wL/QhfD75lpoVV1C1xr+OF3L75F0FxChqm4FnkV37PmtdNdqfdZAa3Q2dqfbprfRdV/cSndtyel8iK4v+ft0R4+8ptV0I93lzE6lawDcSNeiH+ozX1V30V2M4CWtlufTXU1n0Ofp9n18YZpxqup8uh3EH0t3JNFVdFchmjdV9Sng3cDn6D5Pl7VJP5/P5WyrPJ/4ApPk6XQ7fGY8jEv9luRSuqNRzhx3LduSJIfQ/bPYaZ66EbdptsR7rnU3PKN95T0A+B/ctxNV2i4keW6SHdNdUPl04B+3hwAHQ3whCPDndF95r6A7fna76hOU6A4h3US34/Ue4L+Mt5ytx+4USeoxW+KS1GOGuCT1mCEuST1miEtSjxniktRj/x+X+z4V4VXMJQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"RM\"], bins=30, kde=False)\n",
    "plt.xlabel(\"average number of rooms per dwelling\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"AGE\"], bins=30, kde=False)\n",
    "plt.xlabel(\"proportion of owner-occupied units built prior to 1940\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"DIS\"], bins=30, kde=False)\n",
    "plt.xlabel(\"weighted distances to five Boston employment centres\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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pY2A2cEREPFpjTQI2jIhXJa0N3AmcFhF311VTP0lnABOATSLi0A6o50lgQkR0zJefJE0HfhERF+VP9m0QES/XXVe/fIubp0lfVn2qxjpGkfbtnSPiNUkzgJ9GxKVtrmPQY4CkMcBFwI7A+4d6P+v6M4WIuAN4se46qiJiQUTcm4cXA3OAUTXXFBHxah5dO//U/o5C0mjgENKLxBqQtAmwD3AxQES83kmBkO0P/LbOQKgYDqwvaTiwATV8V2oFx4BvA2fTotdf14dCp5M0FtgNmFlvJaWZ5n5gIXBLRNReE/Ad0gvkj3UXUhHAzZJm59uy1G17oA+4JDezXSRpw7qLGuBY4Kq6i4iIp4HzgHnAAuCViLi5zpqqxwBJhwNPR8QDrdqeQ6GDSdoIuA44PSIW1V1PRLwZEe8jfdN8d0m1NrdJOhRYGBGz66yjgb0iYjzpbr+fyk2UdRoOjAe+HxG7Af8NdMxt6XNz1uHADzuglk1JN+HcDtgG2FDSCTXWU44BwBLgC8AXW7lNh0KHyu321wFXRsT1dddTlZsebgMOrLmUvYDDcxv+1cB+kq6otySIiGfy74XAj0h3/61TL9BbObO7lhQSneIg4N6IeK7uQoADgN9FRF9EvAFcD3ygjkIaHAPeQQqrB/I+Pxq4V9JWQ7ldh0IHyhd1LwbmRMS36q4HQFKPpBF5eH3Si+c3ddYUEedExOiIGEtqfvhZRNT2rg5A0ob5wiC5ieZ/AbV+si0ingXmS9ohT9ofqO1DCw0cRwc0HWXzgD0lbZBfh/uT2vPbqtExICIeiogtImJs3ud7gfH5/ztkuj4UJF0F3AXsIKlX0kl110R6B/xh0jvf/o/rHVxzTVsDP5f0IOkeVbdEREd8BLTDbAncKekB4B7gXyPi32uuCeBU4Mr8/3sf8Pc11wOApA2AvyS9I69dPpu6FrgXeIh0jKzjlhe1HQO6/iOpZma2VNefKZiZ2VIOBTMzKxwKZmZWOBTMzKxwKJiZWeFQqFG+++HEVVz3Ukl/N8QlrWib60u6SdIrkmr/9umqqD7nkqYu78tugy0raVtJr+abuK32JH1U0p2V8Vclbd/EemPznTob9uCY7xZ7wCDz9pb0WJP1TZTU28yy9tZ1VHec3SYidqm7hpV0FOlz+JtHxJK6i1kVK/OcD7ZsRMwDNuofl3QbcEVErNJN+SQFMC4i5q7K+kMtIjZa8VJveRu/AHZY4YLWdj5TsJXxduC/VtdA6AaDvWs3a5ZDoUbV0+vcPDFD0mWSFuemiwmVZXeTdG+edw2w3oDHOjR/6/FlSb+StGue/g5JL0oan8e3kfT8YM1WknaSdFt+nEfyXRlR6lTni8CHcvPCn3zzW9Luku7K6y6QdGG+2Vn//F0k3ZLreU7S5/P0YZI+L+m3+e+brXTPeCTtWFnnMUnHVB7vYEmP5nWelnRWnj5S0k9yHS9K+oWktQY+59l6kq7Jj3GvpPc2+v8M+DtLs4mkc4G9gQvz83KhpO9K+uaAdW5Sgw5kJN2RBx/I638oT/+EpLm5/hslbTPI/6u/lpMkzQN+lqf/UNKzuanvDkm7VNbZPD/mIkn3kO6pU33MkPTOPHyI0p1VF0maL2lqozqW432SHsx1XKPcYc3AJiFJ4/N2Fufar9GA5lFJZyp1iLVA0ol52nb5/9z//71I0sLKOlf0P++STlTqtGaxpCckfbKy3MOSDquMr51fJ+9T6mDqCkkv5G39WtKWK/k8rD4iwj81/QBPAgfk4anA/wAHA8OAfwDuzvPWAZ4CPkPqx+Ao4A3g7/L88aTbWe+R152cH3vdPP8TpPu3bAD8B3DeIPWsDcwFPp+3uR+wGNihUuMVy/l73g/sSWqWHJu3eXqetzHpVsRnkgJtY1KHKgB/Q7qlwA6AgPcCmwMbAvOBE1l6p8/ngV3yeguAvfPwpqT7wJCfu39iab8Pe7P02/sDn/M38vO5NnAW8Dtg7UGWvSIPjyXdHnt4Hr8N+HjlediddA/+tfL4SOD3wJaDPG8BvLMyvl/+O8cD6wIXAHcMsm5/LZfl52v9PP1j+Tlel3R78fsr61wNzMjLv5vUuc2djeoBJgLvIb2B3BV4jtTZy588D4Ps3/eQ7ja6Wd4fTq48bu+A/fu0/H84Enidpfv3RNIdQr+c5x+cn89N8/x5pM5mAB4DngB2qszbLQ8fQgpAAfvmx+jfZ84GrqnUPgl4KA9/EriJ9PoZRtrPN6n7+NGy41LdBXTzD3960PnPyrydgdfy8D75IKPK/F9VXjTfB74y4LEfA/atjN9IOvA+SA6LBvXsDTxLPpjlaVcBUys1DhoKDR7vdOBHefg44L5BlnsMmNRg+odIvYVVp/0/4Et5eF5+wW4yYJkvAzdQOdAu5zm/uzJvLZYNmoHLNhUKedoc4C/z8Cmk3rsGe54GhsLFwNcr4xuRwmtsg3X7a9l+OY8/Ii/ztnxQewPYsTL/7xkkFBo81neAbzd6HgZ5rk+ojH8d+Kc8PJGlobAPKZiq+/edLBsKr1W3Q3oTtGcevhw4A9gq70tfB04m3VH0ZSr784D6fkzqPRBScC3u35dI9z86Ow9/jPR623VlXt+r64+bjzpL9W6Hvyc1bQwn7bBPR95Ds2oPVW8Hzsynti9LehkYk9fr98+kd4UXRMQfBtn+NsD8iKh2WPMUTfb6JuldudnmWUmLSAeb/j5kxwC/HWTVwea9HdhjwN91POnFD/BB0rvGpyTdrqX9Dn+DdMZzc24mWF7fAfP7B/Lf3cuyz9uqmg7037H1BNKBq1nbUPn/Rurx7gWW/38of0dujvtqbo5bRDo4Q/pf9JDOuuZX1h20tzNJeyj1Fdwn6RXSwXZl+gUeuE83uojdaP+eP2CZF2LZa1nVx7qdFBz7AHeQQnrf/POL/v1Z0kGS7s5Nci+T9p2RUG53/kvgg0p3Az4IuDI//uWkM+yrJT0j6etKt7VeIzkUVg8LgFGSVJm2bWV4PnBuRIyo/GwQEVdB6ajjO6R3oFMlbTbIdp4BxvS3z1a283STdX6fdDvtcRGxCakZqr/m+Qxoux5Qf6N584HbB/xdG0XEXwFExK8jYhKwBeld34w8fXFEnBkR2wOHAWdI2n+QbY/pH8h/92hWvvvFRneVvAKYlK9R7JTra9YzpEDsr2tDUnPa8v4P1Rr+D6n54wDS2cHY/oci9cC2hMrfzbL70kD/QjrLHBMRbyM1y2k5y6+KRvv3mMEWbuB20lnuxDx8J+kuo/vmcSStS+qb4DxSM94I4Kcs+7f0B/nRwF2RemEjIt6IiL+NiJ1JfSscCnxkJf/G1YZDYfVwF+mF/Ol8cfNIlu245Z+Bk/O7Oind0/8Q5fv6A+cDsyPi48C/kl7Yjcwk9cp1dr7QNpF0UL26yTo3BhYBr0raEfiryryfAFtJOl3SupI2lrRHnncR8BVJ43L9u0raPK/zLkkfzvWsLenPlC6GryPpeElvi9QZyiLgTSgX3d+ZDzL9098cpOb3Szoyn5GdDvwBuLvJv7ffc6QuL4uI6CXdYvxy4LqIeG0l1v8X4MR8kXNd0hnXzIh4ssl6Nib9HS+Q2sHLbbIj4k3SbaqnKvUZsDPpGtTyHuvFiPgfSbuTAmeo3UX6/5yS9+9JrETHRBHxOKl56QTStZdFpOf0g+RQIF23WJccipIOIvV1UfVj0nWc00jXaACQ9BeS3qP0vZRFpOa3wfan1Z5DYTUQEa+TLr59FHiJ1NZ+fWX+LNLF5Avz/Ll5WfIL7EDSaT+kttfxko4fZDuHk06dnwe+B3wkIprtTOcs0kFjMSmorqk89mLSffMPIzUpPA78RZ79LdK7/JtJL7qLSRdMF5NeuMeS3j0/C3yN9OKGdL/5J3MTycksba4ZB/wn8CrpgPO9iLhtkJpvID2fL+XHOzKHzMo4HzhK0kuS/rEyfTrpIu2Kmo6mAtNzE9kxEXEr8H9J72wXkM6ijl2Jei4jNQk9TepMZ2DInUJqenkWuBS4ZDmP9dfAlyUtJn36bMZK1NGUyv59EukawAmkNwSDNXM2cjupiWleZVzAfXkbi4FPk+p/ibSf3jigjtdIz/l2LNu/w1akawyLSNeKbiedCa6R3J+CWYso9c18BekC8R9XtLwtJWkm6aL08gKrFdv9IvCuqLkHvzr5TMGsBfKFyNOAixwIKyZpX0lb5eajyaSPv7a1x7p8re0k6ulprWM4FMyGmKSdSM0gW5Mu8NuK7QA8ALxC+i7LURGxoF0bl/QJ0gcb/i0i7ljR8msyNx+ZmVnhMwUzMyscCmZmVjgUzMyscCiYmVnhUDAzs+L/A1AS45SFdRIVAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.countplot(df[\"RAD\"])\n",
    "plt.xlabel(\"index of accessibility to radial highways\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'index of accessibility to radial highways')"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df[\"RAD\"])\n",
    "plt.xlabel(\"index of accessibility to radial highways\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"TAX\"], bins=20, kde=False)\n",
    "plt.xlabel(\"full-value property-tax rate per $10,000\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df[\"PTRATIO\"]);\n",
    "plt.xlabel(\"pupil-teacher ratio by town\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"B\"], bins=30, kde=False)\n",
    "plt.xlabel(\"proportion of blacks\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"LSTAT\"], bins=30, kde=False)\n",
    "plt.xlabel(\"lower status of the population\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 两两特征之间的相关性\n",
    "两两特征之间的关系探索与要分析特征的类型有关。\n",
    "1. 数值特征——数值特征\n",
    "1.1 相关矩阵：两个数值特征之间的关系可用相关矩阵来查看它们之间的相关性。这一信息很重要，因为有有些机器学习算法（如普通最小二乘线性回归）不能很好地处理高度相关的输入变量。如果特征之间高度相关，可考虑进行PCA降维（特征层面）或加正则项（模型层面）。\n",
    "可用DataFrame的corr()方法先计算出每对特征间的相关矩阵，然后将所得的相关矩阵传给seaborn的heatmap()方法，渲染出一个基于色彩编码的矩阵。\n",
    "1.2 散点图（scatter）将两个数值变量的值显示为二维空间中的笛卡尔坐标。\n",
    "\n",
    "2. 数值特征——类别特征\n",
    "散点图中的数据点可以通过色彩或尺寸进行编码，以便在同一张图像中包括第三个类别变量的值。\n",
    "也可以用lmplot()函数的hue参数来指定感兴趣的类别特征。\n",
    "violinplot/boxplot可表示输入两个特征，用于表示在一个特征取值下（类别型特征），另一个特征（数值特征）的分布或统计量。\n",
    "\n",
    "3. 类别特征——类别特征\n",
    "通过设置参数hue，在图形中加入类别维度\n",
    "除了使用图形进行类别分析之外，还可以使用统计学的传统工具：列联表（contingency table），又称为交叉制表（cross tabulation），使用表格形式表示多个类别变量的频率分布。我们可以通过查看一列或一行来得知某个变量在另一变量的作用下的分布。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "二、对两个连续型特征，可以用哪个函数得到这两个特征之间的相关性？根据代码运行结果，给出示例。\n",
    "\n",
    "答：对两个连续型特征，可以采用DataFrame的corr()方法计算这两个特征之间的相关性。代码如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1a2047fcc48>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#get the names of all the columns\n",
    "cols = df.columns \n",
    "\n",
    "# Calculates pearson co-efficient for all combinations，通常认为相关系数大于0.5的为强相关\n",
    "data_corr = df.corr()\n",
    "sns.heatmap(data_corr,annot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(14, 14)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_corr.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x648 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 得到相关系数的绝对值，通常认为相关系数的绝对值大于0.5的特征为强相关\n",
    "data_corr = data_corr.abs()\n",
    "plt.subplots(figsize=(13, 9))\n",
    "sns.heatmap(data_corr,annot=True)\n",
    "\n",
    "# Mask unimportant features,突出重要信息\n",
    "sns.heatmap(data_corr, mask=data_corr < 0.5, cbar=False)\n",
    "\n",
    "#plt.savefig(\"house_coor.png\" )\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RAD and TAX = 0.91\n",
      "NOX and DIS = 0.77\n",
      "INDUS and NOX = 0.76\n",
      "AGE and DIS = 0.75\n",
      "LSTAT and MEDV = 0.74\n",
      "NOX and AGE = 0.73\n",
      "INDUS and TAX = 0.72\n",
      "INDUS and DIS = 0.71\n",
      "RM and MEDV = 0.70\n",
      "NOX and TAX = 0.67\n",
      "ZN and DIS = 0.66\n",
      "INDUS and AGE = 0.64\n",
      "CRIM and RAD = 0.63\n",
      "RM and LSTAT = 0.61\n",
      "NOX and RAD = 0.61\n",
      "INDUS and LSTAT = 0.60\n",
      "AGE and LSTAT = 0.60\n",
      "INDUS and RAD = 0.60\n",
      "NOX and LSTAT = 0.59\n",
      "CRIM and TAX = 0.58\n",
      "ZN and AGE = 0.57\n",
      "TAX and LSTAT = 0.54\n",
      "DIS and TAX = 0.53\n",
      "ZN and INDUS = 0.53\n",
      "ZN and NOX = 0.52\n",
      "AGE and TAX = 0.51\n",
      "PTRATIO and MEDV = 0.51\n"
     ]
    }
   ],
   "source": [
    "#Set the threshold to select only highly correlated attributes\n",
    "threshold = 0.5\n",
    "# List of pairs along with correlation above threshold\n",
    "corr_list = []\n",
    "#size = data.shape[1]\n",
    "size = data_corr.shape[0]\n",
    "\n",
    "#Search for the highly correlated pairs\n",
    "for i in range(0, size): #for 'size' features\n",
    "    for j in range(i+1,size): #avoid repetition\n",
    "        if (data_corr.iloc[i,j] >= threshold and data_corr.iloc[i,j] < 1) or (data_corr.iloc[i,j] < 0 and data_corr.iloc[i,j] <= -threshold):\n",
    "            corr_list.append([data_corr.iloc[i,j],i,j]) #store correlation and columns index\n",
    "\n",
    "#Sort to show higher ones first            \n",
    "s_corr_list = sorted(corr_list,key=lambda x: -abs(x[0]))\n",
    "\n",
    "#Print correlations and column names\n",
    "for v,i,j in s_corr_list:\n",
    "    print (\"%s and %s = %.2f\" % (cols[i],cols[j],v))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 散点图\n",
    "matplotlib库的scatter()方法\n",
    "或\n",
    "seaborn库的jointplot方法（kind参数为scatter）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(df[\"RM\"], df[\"MEDV\"]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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7IZOwp0Q04M7Ozi98febcHCDtoT3O/ZCJ2FMiyqGwJX3cFrW25hTLL1iCIw/c3NdrEyWBQYkoZ6KU9PFKYKg3mrjm/m9gThU1W+D5ncmXuMcSZYrDd0SGCdqeYvveY54lfZz8Ehica5WcASnotYmSwJ4SkUGCekGT03XPNO83Gk1MTtcXJTYMl4dQLolnZQdLszWHxw+97lkjj+WCKC3sKREZxK+wqXW/l4srZYw/cXRR0JppzWNuXrFiuBz43lbPyQ1TxiktDEpEBgkqbOrXYxHBolRvy7wCw0uXoFrxD0zWmqeu1wWYMk6pYVAiSkiYrcudggqbet2/YriMhk+tu3qjiTPnZj3vr5RLuGPDFV316wTAZ25azSQHSg2DElECrLmheqMJhX/hU3vwOnN2tmt7CvviVq/Cpw98/DrfIbaSeM8rWWuVHhxb11W/7qGt6/Hg2LpoB0/UByY6ECUg7KZ3zsSGRrOF8pAs9Hyc64TsW6M71xFNvXYKX33hRFdb/BIdBFi0yR/r11HWGJSIEhB20zvXxa3zirOtOVzW2abcSm6wBya3HWb3HO7uhQ2Xh/AHt12PnfuOu272xwQGMg2H74gSEHbTO6/gNdOaDzX0Z3ELbgCwYvkFGBupcb8jyg0GJaIEhA0CYXsqQQtYg3pmYfc76iU5gyhOHL4jSsiy8tBC76VaKWP7rdd1BYHxLWtwz64joV7PLx38smrFdXhuSARXbXt2Ye7JPn9ksWrd1RtNCMASQ5Qp9pSIYmYlL9i3I7dX6rYbG6kFrh+y+PWq3HpmQHtBrN8QoD1LEABLDFHmGJSIYhZUlcFp+63XuQYUOwGwae0qz/udw3NuC2Hd2uA1F2XHEkOUJgYlopiFzbyzWAHFjwLYc7juO8czNlLDwW2b8YOJWzDvUTLI2Qa3IT8nZuhRmhiUiGIWNvPOKWjj8ihDaWHaMDldD3xPZuhR2hiUiGLmNb9z5uysZ09n577jnhW67ew9Hb9MuTDZf0HvyV1pKQvMviOKmXUR3/H0sUXJDo1mK/JmfE5WTydoiwu/yg9h3vPViVtCtYcobgxKRAkYG6lh577ji4IS0F1qyErHDtNLsvd0wpQxCioZ5JVGXuMcEmWIw3dECQlKeHCmYztZNfDcFrv6bXMedvErqzyQiRiUiBLilWwwJLLQQ/JKx65Wyrhw2RLXoqx+ry1A6PJEYas8EKVJ1Ge3yb5eWGQZgL8BcAHaw4RPquoDInIVgK8BWAngRQC/qqrn/F5rdHRUp6amEmknUVKc8z52lXLJd32Q835rXyNrGwm317ZXY7CrVSuulRwoU0GJjwuuvvZ6ffArz0R68Ts3rI7coJR5Hn+SPaWzADar6g0A1gP4qIjcBOAPATykqj8L4DSAX0+wDUSZCOoJBS1Ydd6vAB594QQmp+uLXttaJFurVjznpbj4lfIksUQHbXfB/rnzbbnzTwFsBnBn5/ZHAGwH8GdJtYMoiHWR98pS6+X1vHpI/VAA9z/1D/hpa34hAM2pLswDcXsKGgSJzimJSElEjgB4C8A3AXwPQENVrX2ZfwjA9a9fRO4WkSkRmTp58mSSzaQCi7JDbFhhSvcA7qWA/G4HgKYtIJ2/rZ11x8SFwWG//v2kcSrr5qQq0aCkqnOquh7A5QA+COBat4d5PPdhVR1V1dFVq7xrfhH1I2qdujDCDJdVyiXcseEK1yByx4Yrwk842N6TiQuDw379e1d1ZdbNSVUq65RUtSEi3wJwE4CqiCzp9JYuB/BGGm0gchO1Tp0X+xCgCOCXP7RiuIwHPt7exmL0fSs9hw4ffeFEqPVLwPkhOm5nTnnn21MSkdFeX1hEVolItfN1BcAvAHgZwAEAn+w87C4AX+/1PYj61WudOjvnEOB8QCT5aWt+4XleAenBsXV4aOv6Rb2eFcPeW1xY65O4KR/lXVBP6c9F5EIAjwP4mqp+J8JrXwrgEREpoR38dqvqMyLyHQBfE5EHAUwD+HIvDSeKw/iWNV1JCVHnYcLOIVmarTls33sMZ2fnPcsEWf/bez1BCRTclI8GgW9QUtUREVkD4NMAnhSRczgfoF4LeO4/ABhxuf37aM8vEWUuTI04P5PT9VDbPzg1mq2u25xlgoLaOiSCOcc4YbM1h/t2H130eKI8CZxTUtXjAHYA2CEiN6AdoPaLyD+q6sakG0iUtF7nYayeS5ycVcDdgqXV1qu2Pev6GnOq7DFRboXOvhORIQDvAfBeAMsBME+bCs1v2K5cktDbnNs5q4D7par7zXtxG3PKq8CgJCL/WkT+FO01ReMA/hbAGlUdS7pxRCbzy9Db+ckbcOSBm/GlretRGgqX4G2fy9q+91hgqrrXvk1h2kdkKt/hOxF5HcAJtGvV7VDVH6XSKiKDBW03UatWFs3/zAWl43XcfmN7aG5yuu465wQsDjTWe9y3+2jX3BLASg5FlYO6d76C5pT+VVBCA1Fc4i73k4SgDDhn5l6U3sqew/WFdUtenIHGOj/9ZhASmcJ3+E5VXxORu0TkRRE50/k3JSK/llYDqRiSKPeTBL95JLcKClF6K9bwnF8gcws0rORAgyRo+O7XANwD4LfQ3mZCAHwAwE4Rgar+ZfJNpCIIs5OqCbwChgCu20OMb1mDe3YdifT6XjvCrhgu+6aLm3SeiHoVlOjwHwD8sqoeUNV3VLWhqvsB3N65z0iT0/XQu2+SGeIq95O0qBUgogYKa9iy7JIcoQr+LtPACwpKF6nqq84bO7ddlESD+pWXYSBaLI5yP2nopRJ3LcIxbFrbKT7skrDXaLb4u0wDLygo+X1MNesjbEcSVZ8peVlvuxC2dx12/sb+ejPnZrt6Pl5J4gdeOYmd+46jNeeescffZRp0Qdl314rIP7jcLgCuTqA9fcvLMBAt1m+5n344M+rqjSbGnziKHU8fQ2Om1dWWoPkb5+udnmktLKZ9p9nynDMCwv2e8neZBllgUEqlFTHy+oM3bRiIumU1We/Wu27NK07PtNcKRS106vp6c4rlFyzBkQduBgBsnNjv+3vqV0+Pv8s0yIKG7yqq+lpnrdI/Wl93vr80hfZFlvUwEOVPmJ5HlGEzr9erN5oLw4Ob1q7q+j2VzmPOnJ1FueRdBaLeaOKa+7+B35mMt+4ekQmCgtJjtq//znHfn8bcllhwzQZFFbbnEXbYzO/1rOSbPYfruP3G2qIkCGsWqdFsYW5OF/ZPctsefU4VX33hBAMTDZyg4Tvx+Nrte2NwzUY+ZVXRwW1PJTdBwctqf73RhAC+u8Y2W3M48MpJHNy2Get3PN9VVmge7RTwVyduAQBcc/83XEsJPX7odTw4ts63XUR5EhSU1ONrt++JeuaWbJDW9gvOJIuLK2WcOTe7KAMuaAjY2X4FAgOTtVusV507++1uAcnvdqK8CgpKl4vIH6P992V9jc737IpQbLKu6OC2y2uUXptb+xXn1yi5JS6Ix+1uSi4b+lm3E9k9dujEou/zVqA1KCiN276ectzn/J6oZ6al8kcdAvZr/0Nb13cNDwb1ogAszCkBwB0brsBXXzjR9Zg7NlwRuo1EeRC0HfojaTWEii3vqfx+7XdbgxXUQyqXBA98/LqF7615o8cPvY45VZREcMeGKzifRAMnqCDrXr/7VfXWeJtDReWWbJCnVP6g9jt7Xl7rlID2kJ/bcOGDY+sYhGjgBQ3f/RyA1wE8DuAQDM64o3zLsqJDHKK23yuIcfkCFV1QUPoZAB8BcAeAOwE8C+BxVT2WdMOoeLJK5XcmNWxauwoHXjkZOThGaX/egzBRUoLmlOYAPAfgORG5AO3g9C0R+V1V/R9pNJAoCV5riuqN5qKEAq/U9MnpOnY8fWyhFFG1Usb2W9tzQG6Bxiubz37fvbuOYOe+45GDUx527CUKK6inhE4wugXtgHQlgD8G8FSyzSJKjtuaIj/O1PTJ6TrGnzy6aB1To9nCb+0+gpIIWvPt262ANvXaKew5XHddgwWgr/VZWa7vIkpCUKLDIwDeD+D/ANihqt9OpVVEMfDqQfhtae7Fqlt3WbWCxsw5160l5hWYd6wlarbmXFO57bX0/LZaCeoBZb2+iyhuQT2lXwVwBsC/APCbcn6hngBQVTVyoz8ivx5Er2ufrLp1cfFrh9XeoB6Qaeu7iPoVNKcUVLCVyCj2uSKnZmsO2/cew5BHdYS0XVwpY/kFS1zbWhIJ1QPK+/ouIicGHRoYVu/IrzfTaLaMCEgAcObcrOsWFpVyybONzh4Qt2qhQROY6ECUF73MFWWpNac48MpJfPG2dV1zR169PWcPiKnlFMRZCy9JcdTZY1CigZHHeZR6o+mZBu5VIcItgePgts1pN50oEQxKNBAmp+vGzBVF5ZbE4NUDAvpLIScyHYMSJS7pxZ3WXFIeA5Kl2ZrDPY7Fs24VIjZO7HdNgNjx9DEGJRoITHSgRNmTD6yU6vufegmT0/XY3iPsXFK5FL50Y1b7FAWdH68hytMzrVjPKVFWGJQoUX6LO+PiN5dk35No+dIlWL605PlYS6Vcwk1Xr4ilbb3wOz9+qd5xnlOirDAoUaLSWNx5caXsevtweQg/bc0vfN9otnDmXHCPal4VB793Krb29cLr/Pileucx0YPIiXNKHljkMh5hFnd6neuwPwOvkbYZW0CK4uxsb8+LYrg8hBXLL/BcU+XVIxobqWH73mNoNFuhn0OUJ+wpuUhjHqQoghZ3Tk7XMf7E0UXnevyJo/idyZdC/wwaM90XaNPNtOaxae0qVF16eUGLX7ffeh0XzNLAYlBykcY8SFGMjdTwxdvWoVatQNDeVdW+kd32vccWqmpbWvOKRw+dCP0zqA67D9+Z7qsvnOjq8awYLgdu9Bd0TonyjMN3LljkMl5+m9+5DUMBgFd29xuN5qJhvepweWFPo0EwvHRJ7BsKEuUJe0ouvMbmOWafvepwedGwXh4C0lCE7HJ+8KGiY1BywSKX6VnhMfQ2XB5y/Rmodu8/ZLr5CGt6+cGHio5ByQXH7NPzwMev61rUWi4J/uC2611/Bu94DPfFqTwkWDFchgCh1jXFhR98iDin5KlIY/ZZpr8HVbl222k1ykZ7pR7q4e381A0L73vN/d+I9Nyw71urVrBp7SoceOXkwnFvWrsKO/cdx727jvSUGk/p4c8kOQxKBee3Q2uagcnvvewXgOGIPZde6uHZa9D1Wk9vThUrPJIwVgyXu6p6e/0cpl47hT2H6yzAahAT/mYGGYfvCs709HfnmrEwFRniYK2X6lVJxDOD0O12r5/D44deN/rnU0Sm/83kHYNSwZme/p7lxn3O9VNRzKl6zn+53e51vsPuQEvpMf1vJu8YlArO9PT3vP6h16qVSOfW67Fe1cpN+fkUkel/M3nHoFRwpqe/5/EP3Tp/Uc6t12Pv2HCF0T+fIjL9bybvmOhQcEHZb1kb37Kma1twu9KQYK6PYba4lUS6lg+47R67cWK/6/l2+zmMvm+lsT+fIjL9bybvRHOwW+fo6KhOTU1l3QyKoN+UWfvzL66UIdIuvFodLkO1PS+TZYmh5UtLmDk3B/tfT6VcClzP5szcCvs8Gjih63xcfe31+uBXnkmyLbG5c8PqsA/1PH72lCh2/abMOp/faLZQKZfw0Nb1i56/cWJ/ZkFp5twcHtq6PnLg9cvcYlAiYlCiBPR74Q37/CyTIKrD5Z4WWDNzi8gfEx0odv1eeIOePzldx8aJ/chy4LnXUW9mbhH5Y0+JYue122x1uOw5wR/m+ZdVK65zMlnwWoMUNJfmlrjBzC0aFI8dOuF7f5g5p8R6SiJyhYgcEJGXReSYiHy+c/tKEfmmiHy38/+KpNpA2di0dlXXLGa5JPjnn86G2knWLeVWOs+5b/fRzAMS4N6zCbNjMYv9EvlLsqc0C+A+VX1RRN4F4LCIfBPAvwXw16o6ISLbAGwD8IUE20EpmpyuY8/h+qKhNQGwZEjQbM0veqzXPJM95bbeaEKAhdfrtRZdnNx6NpPTddy3+2hX+9yOsUjFfomiSqynpKpvquqLna9/AuBlADUAnwDwSOdhjwAYS6oNlD63JAUFugKSxWv+aGykhoPbNqNWrWQ6d+Tktg7J6iGxJBBR/1JJdBCRKwGMADgE4L2q+rxxKNQAABeqSURBVCbQDlwA3uPxnLtFZEpEpk6ePJlGMykGUS/AQRP8pl3Q51Sxfe+xRUNyQfX5mMRAUdmvfz9pnMq6OalKPNFBRC4EsAfAPar6T+JRy8tJVR8G8DDQXjybXAspTl5JCm6cw2BuSQJRXi8tjWZroYL42EjNN3AyiYF6Yb/+XX3t9YW6/iXaUxKRMtoB6VFVfapz849E5NLO/ZcCeCvJNlC63JIU3Dgn+N2SBMafPIq3/smsgGRpzevCVgUXV9y3dHcb6iMif4n1lKTdJfoygJdV9b/Z7toL4C4AE53/v55UGyh9ziQFL85N7tyGwFpzZn9AfKPRxOR0HWfOzXbdVx6SRTvYElE4SfaUNgL4VQCbReRI598voh2MPiIi3wXwkc73NECsJAWvgVq3202bOwrjsmoFO/cddw2eFy5bwoBE1IPEekqq+rfwLrr34aTel8zh1c9xu93EuSM/5SHB+JY1uHfXEdf7GxnV5CPKO5YZosTUPLLO3G4POxeVhSG0q4JbqpUytn7wCuzcd9wz8DLjjqg3DEqUmCiboY2N1HD7jbWFnVaHJLtfTnsAAoCLh8v4/V9eh1cnbsGrE7dg+63XYc/hum/P7szZWddqFUTkj7XvKDFRNkOzKkFYC1DntV2a6AKXShBJGhLgzLnFCRenZ1qLtt4IWpcEtNPGo2zXQURt3OSPjLBxYn+mc0pDAly0rIyGR6FVoJ3iPa8aqcJErVrpyjQkgqGb/EXYpK9fnsfP4TsyQprZd0Mufw4lEd+ABLSrOUT9CJfHrEKiLHH4Lsf63XLcpPdNI/vuS52da9fveL4rALXmkxkxyFPCQ1a/T0R27CnlVJhtEvL0vuNb1qBcCj2iEVmtWlm4wHrthRS3PJUYyur3iciJQSmn/LYMz9v7Tk7XsePpY31VcKhWyhgue/861xtNXLntWYz87vOeZYHilLd9krL6fSJy4vBdTvW75bgp79vrTrLWHku1agWb1q7CM0ffxEyILL3TMy2UhgTlIYk0ZFcpl0K3MY/JDVn9PhE5saeUU15zFUnPYcT9vmHSq2vVCj570+pFu7U+tHU9Xp24BeNb1mDX378emKRgNzevuHDZEs/FvW7vb+0WGyRoyG5yuo6NE/tx1bZnsXFivzHDY1n9PhE5MSjlVJSFqSa/b5hP4pvWrsKBV066TsDv3He8pySFxkwL41vWYMWw/1CedWz2TQf9LPMZQjR53iar3yciJwalnBobqS18erd6D2nMYcT9vmE+iT/6wgnPC3mvw0vV4TLuf+olnHbUqKuUh7BiuOx5bEEJGdZCW7dAY/K8TVa/T0ROXDxLmep1TqlaKWP5BUt6TiOvlIdcK0WEmQ9ySyl3a9+RB25edNtV2551XeckAH4wcUtQk2mwcPGsB/aUKFPWJ/SgYTSnRrPV17omr9JFYXpeYeavGs0WrnTMG3HehigYgxJlbmykhun/fDM+e1P8n9KqlXJXgVU/YQKEVTQ2DPtwo1cl9JlzLN5KZGFKOIWW9Ir/B8fW4Zmjb0bKpHOqVStd7bty27Ohnht2Yn8u4pC3NW9kDQtu33ts0TE6C74SpSXF4brQGJQoVLBxzv1YPQAg3gtpv9UWoq4Pcgtidm7nptZDSSRrWNCqMu4MvFbgYlCiomNQKriwwcYvcyzOC2k/NfCqjkoNVkDxe7xfEPM6N7ffWMOuv389Uiq6fViQC1WJvHFOqeDCpimndSHtdQfa8pBg+63XLXxvXxMU5vFuvM7NgVdO4sJl3p/nnDNOzmFBJjwQeWNPqeDCBhuvHkzUC2nQUOHUa6dwdjY4Pdza/+idZmvR61iv79fbqjne16tNvQRiAfDQ1vW+xzi+ZU1XGjwXqhK1MSgVXNhgE8eFNGio8DN//nc4+L1ToV5rXoGzs/N4qLMdhdvruxEsnnfya1PQuXG7T9HuYfklgUTZkZeoaBiUCs4t2ADAmbPtNGXrQhnHhTRoqDBsQHI+1962oEW4zmDr16agQOwVAMMkgYyN1BiEiFwwKBWcdWHc8fSxRSV3Gs3uNOV+L6ReQ2pvNJo9l9qxD6UFzW+59ez82hQmEHsNFXolgXAjPSJ/DEq0kKbsrAMXZ3bd5HR9YbsJp8s6adm9sPd8/DL3nPNIYdoEuAdiZ2Dx4jymtNLqw2KAJBMxKBGA5LPrdu477ln3bXzLmsDkBC+b1q5a+NpruM0qLGptG2FdhM+cnfVtk8WePDEk7fksS73RDAxsFq+hwvt2H8W9u46kvqW9SQGSyMKUcAKQfJqyV3BTtC+CvaaCH3jl5MLXfpWu3baN8KocYbUJ6E4td1uapAhOAwe8z8GcaupbWZhcsZyKjT2lArMP31xcKaNckkVbkseZpuw1tFazDZMB3fM3QT2oeqOJjRP7F3oYXvNeYZIgLCWRhSSPsM+zdsH1GwoLszA4rcoOXMBLpmJQKijn8E2j2UJ5SLB8aQlnzrVvu2BJ/x1p+9CXc5jLGfSsgGI9595dR1yDpVOYoacoF9s51YXXi3qRtqeoO3llOjqlERjiWndG+fbYoRMLX5tSB4/DdwXl1gNozStmzp2/zcrA63U4yTn0ZR/m8tpEzjnM1mi2AAWGfXZ0BfyHnian6xiKUNnb/npRLtJBw2/O4UWvauNpBAbuNEumYk+poPzmeOz6GU5yC3zWMJdXzTmvYPmei5bhDwKG89yOyQpyUSt7W6/30Nb1kTYhbLbmsH3vMc+sNvvwotti30q5hE1rVy1KyEgi+YELeMlUDEoFFaXwaa/DSVHnLSan64HrhsZGatg4sT/00FOYOSGv7LnhpaWFi/R9u4+GDmyNZmshicI+tGi1xx4EvnjbukW3bVq7CnsO11PJiuMCXjIRh+9iZqUdX+XYddQ0m9au6soY8xrg6nU4yet5Q51EAjur1xDmtaIMPQUFVK+ABGBhbm1spIY/+pUbut4z7IBgszWHHU8f68r+s4734LbN+MHELTi4bTMOvHKSWXFUaAxKMXJLO04rxTeKyek69hyuL7oYC4Cfv2ZlrPMMXmneViKBdV4mp+u4b/dRzx6NW0KEV+q39XrWB4MgQX0fq41u7/mZm1aHTmM/PdMyqho7kak4fBejtPYc6pfXXM+rP252DSf1M88wNlLD1Gun8NUXTnTdZ78gB835uCVEeA09hSnK6lwA68f+s3N7z9H3rVx0vmbOzXZVxvDzRqO5KDV/SMT1XDArjoqCQSlGefmU69fOOOcZrB6ZXzuC5nxq1Upge8Jc1O2i5DwE/eyc58stKPqltF9cKS96vFvbmRVHRcKgFKO8rP2Iu51eNdSCAk5QzbswmWjOIBAmGSFKHp7bOXE7XuB8EsPFlTKWlYfQmGktlDNyqx4hAETge45WDJfxwMevM6qnTZQkzinFKC9rP+Jsp988WlDAGd+yxjMQlkRw+4017Dlc952ji1KpISq3c+J2vPfsOoJ7dh1ZtLbqp632Xk8Ht23GOz7ljBoBQ33DS5cwIFGhMCjFKGgC3hRxttNvHs0v4Fjv5xYgBe0ez+OHXg9MDog6NFoplwIX4lrczknYIGhvp9d5qFUrgb1T04Z+iZLG4buY5WXtR1zt9Jufclt4aq/abbUDOL8vkT1F22sozj70GGW9lUg70ADA+JNHfUsXrRguL5Q6CrNFuhvrsb1uFgiYN/RLlDT2lKgvftXFw/bIxkZqOLhtM2rVSqj5HsH5VO3xLWtQHgq3YmhJ53FjIzXs/OQNC8Vgnc8ulwT//NNZ12HDKEHCvieT13mw7lsxXO56volDv0RJE+2h/EraRkdHdWpqKutmkAuvUjlhhgOdCQNR9lOylyoa+d3nQ6dhu5U4crbDKzHB2ihw/ImjaAXklIc9B37tYNmfgRa6GOPV116vD37lmchvYEqBVQ+ex8/hO+pLrzXU3DaZ86uu4GQfRgtKFvB6nsU5lOm16NZKmXduHe/ktsttGHkZ+iVKEoMS9c1ty4md+477Xpi9FvA6A1OYXV2j9LLCDL8Fpcz7BaRXJ24J1Q4icsc5pZjlofZdEm2MWmLJr0p5UCkf51yLWwZfeUhQLi0eIRCc3xTQ75iDUua9tpwAYOzPnCgv2FOKkduQVFIVnnuVVBujlljy6o2URLp6WM5SPs77vYYQrducQ4N+x2z19pqtOZQ61SGcw3F+C3RN/JkT5QkTHWLktaWC3/5BaUuqjVdte9ZzPshtm3C/GnW9JAn4CXvMYZM2vF7P77WJHJjo4IHDdzHKQ+27pNroNVdjDZk5h/TGRmq4/Ub3oBP3Vg1hj9mvt2fnVf08zHsSkT8GpRj5rdkxRVJt9KrM4LWTbZhirXEJe8xhg5d93VHU9yQifwxKMcpD7buk2ui2QNRrOC9MdfA4L+phj7nqsoDVqy3Wgt8vbV1v/M+cKE+Y6BCjXtfspCnJNjrX2fhtWx6mWGtcwhzz5HTdtXBquSS+bfFLsvCrbk5E7pjoQInxSxywsuKcSiL4o1+5IfVKCF5VIYbLQ/jO730s0mv1U+WCCoOJDh44fEeJ8av55jWk1ktAimMLeq8FsTOt+UivA4RPmCCibhy+yzmT6qV5tcWtPXEMI05O13Hf7qNd64ay3oI+ySxMk37elD3De0M9YVDKsV4WwiZ1UeulLf3UerPez2sha9QAUK2UXYuwht17yS6pHYjzsDibqF8cvsuxqMNEcQ11xdGWJN7PLmoA2H7rdXDbAaM1p5HPT1IZjhwWpCJILCiJyP8SkbdE5Nu221aKyDdF5Lud/1ck9f5FEHWYKMmLWtoLh/1eV4DIAWBspIaLlnWnhLfmNfL5SWoH4jwszibqV5LDd18B8CcA/tJ22zYAf62qEyKyrfP9FxJsw0CLOkyU5EUtqSGrqO8HtBfs9hIA3FLCgd7OTxLbUKR9jomykFhPSVX/BsApx82fAPBI5+tHAIwl9f5FEHWYKGxlg16qiKe9cHh8yxrPnFK/Sgt+eq12kVZl+DwszibqV9qJDu9V1TcBQFXfFJH3eD1QRO4GcDcArF49eBkmcYiawTa+ZY3r+hn7Ra3XyfS0Fw6PjdQw9dopPPrCiUWVI/q5SIc5P8DiZJGLK2WcOTeL1ly7FUkmH+RhcTbFw379u+RnivXzTXTxrIhcCeAZVX1/5/uGqlZt959W1cB5JS6ejU9Q9l0eKp3bxZ1NGPR6ftXN7Uw9X2SMWBbP5jgl3Jjt0H8kIpd2ekmXAngr5fcvvKC5jrxNpsc9dxP0ekFZfxZTzxeR6dJOCd8L4K7O13cB+HrK708B8lDpPEthgw3PF1FvEuspicjjAP4NgEtE5IcAHgAwAWC3iPw6gBMAPpXU++eJSav0w86rmC6pc+qX9WfJ4/kiMkViQUlV7/C468NJvWcembZKfxAm06Oe0ygBzC1ol4cEFy5bgsZMK5fni8gkLDOUMb8FrVld2JJYY+Mmam8m7OOjnNOoAWwQgjaRyRiUMpa3xIK49NKbCft4r+E1t3Pay4eCpIO2ScO5ZLbHDp3oui3HGXkAWPsuc4OYWBBmMWnUkkdhHj85Xcf6Hc97tsvtnJr2oSDJ+oREecCglDHTV+lHrVYQ9qIaNRgE3W69r1ulb8C7Hp5pHwpYdJWKjkEpY0kV74xDL5/aw15UowaDoNuD1g951cMz7UOBaT03orRxTskAaSUWRNXLfEvYi2rU1POgxwddtL3q4ZmWuMCiq1R0DErkqZdP7WEvqlGDQdDj/dYPBfV8TPpQMCjrxIh6xaBEC5xZX9XhMk7PdM/R+H1qj3JRjRoM/B7v9r4AsGK4jAc+fp0xQceLs8jrsvIQ1z1RITEoEQD3lOvykKBckoUK2IB3gMn6oprGMJxbqnYc7+k8941mC5VyCQ9tXc9gRIXDoEQA3OePWvOKaqWM5Rcs8b3omnJRTXIYzi1ojz9xFBD0vW2FiQuoibLCoJQDaSym9JoneqfZwpEHbvZ9btBFdRAWg3oFbadeggkz7ojOY0q44dJaTNnPeh2/i+qgLAaNEiCiBhPT1koRZYlByXBpLabsZ72O30V1UBaDRgkQUYOJaWuliLLE4TvDpTW000+igF/G3b27jrg+J29DU17Vwe1zSkBvwcS0tVJkrrzXtQuDQclwaS6m7DVRwO+iunPf8UTbn9Z8ldcxut3W6zlkECJiUDJeXhZTel1Uk2x/2ntReR0jgwlRfDinZDiTa+OFkWT7B2W+iojOY08pB/I+tJNU+5lKTTR42FOi3GIqNdHgYVCi3AqTSh11PygiyhaH7yi3glKp006EIKL+MShRrvnNV7GmHFH+MChRaqKuKep3DRITIYjyh0GJUhF1KC2OoTfu4kqUP0x0oFREXVMUxxok1pQjyh/2lCgVUYfS4hh6Y005GgQrly8tRM07C4MSpSLqUFpcQ295X3hMVDQcvqNURB1K49AbUTGxp0SpiDqUxqE3omJiUKLURB1K49AbUfFw+I6IiIzBoERERMZgUCIiImMwKBERkTEYlIiIyBgMSkREZAwGJSIiMgaDEhERGYNBiYiIjMGgRERExhBVzboNgUTkJIDXsm6Hi0sAvJ11IxIwiMc1iMcE8Ljyxjqut1X1o2GeICLPhX3sIMhFUDKViEyp6mjW7YjbIB7XIB4TwOPKm0E9rjhx+I6IiIzBoERERMZgUOrPw1k3ICGDeFyDeEwAjytvBvW4YsM5JSIiMgZ7SkREZAwGJSIiMgaDUo9EpCQi0yLyTNZtiYuIvCoiL4nIERGZyro9cRGRqog8KSKviMjLIvJzWbepXyKypvNzsv79k4jck3W7+iUi94rIMRH5tog8LiLLsm5THETk851jOjYIP6ckLcm6ATn2eQAvA7go64bEbJOqDtqixf8O4DlV/aSILAUwnHWD+qWqxwGsB9ofkADUAfxVpo3qk4jUAPwmgH+pqk0R2Q3g0wC+kmnD+iQi7wfwGwA+COAcgOdE5FlV/W62LTMTe0o9EJHLAdwC4C+ybgv5E5GLAHwIwJcBQFXPqWoj21bF7sMAvqeqJlY9iWoJgIqILEH7w8MbGbcnDtcCeEFVZ1R1FsD/BfDLGbfJWAxKvfkSgN8GMJ91Q2KmAJ4XkcMicnfWjYnJ1QBOAvjfneHWvxCR5Vk3KmafBvB41o3ol6rWAfxXACcAvAngHVV9PttWxeLbAD4kIu8WkWEAvwjgiozbZCwGpYhE5JcAvKWqh7NuSwI2quoHAHwMwOdE5ENZNygGSwB8AMCfqeoIgDMAtmXbpPh0hiNvBfBE1m3pl4isAPAJAFcBuAzAchH5bLat6p+qvgzgDwF8E8BzAI4CmM20UQZjUIpuI4BbReRVAF8DsFlEvpptk+Khqm90/n8L7fmJD2bbolj8EMAPVfVQ5/sn0Q5Sg+JjAF5U1R9l3ZAY/AKAH6jqSVVtAXgKwM9n3KZYqOqXVfUDqvohAKcAcD7JA4NSRKp6v6perqpXoj1ssl9Vc/9pTkSWi8i7rK8B3Iz2sEOuqeo/AnhdRNZ0bvowgO9k2KS43YEBGLrrOAHgJhEZFhFB+2f1csZtioWIvKfz/2oAt2FwfmaxY/YdWd4L4K/a1wIsAfCYqj6XbZNi8x8BPNoZ6vo+gH+XcXti0Zmf+AiAf591W+KgqodE5EkAL6I9vDWNwSnLs0dE3g2gBeBzqno66waZimWGiIjIGBy+IyIiYzAoERGRMRiUiIjIGAxKRERkDAYlIiIyBoMSFY6IzHUqa39bRJ4WkWrn9itFREXk92yPvUREWiLyJ9m1mKg4GJSoiJqqul5V34/26vrP2e77PoBfsn3/KQDH0mwcUZExKFHR/R2Amu37JoCXRWS08/1WALtTbxVRQTEoUWF19iH6MIC9jru+BuDTnS1K5jAY2ycQ5QKDEhVRRUSOAPgxgJVoV2+2ew7t8j13ANiVctuICo1BiYqoqarrAbwPwFIsnlOCqp4DcBjAfQD2pN88ouJiUKLCUtV30N5++z+JSNlx9x8B+IKq/jj9lhEVF4MSFZqqTqO96dqnHbcfU9VHsmkVUXGxSjgRERmDPSUiIjIGgxIRERmDQYmIiIzBoERERMZgUCIiImMwKBERkTEYlIiIyBj/HxPsKFm53HIkAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.jointplot(x=\"RM\", y=\"MEDV\",data=df, kind=\"scatter\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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NI7PK0QCvW6fA66SfZppsrVq+AzwhIjuBi4GfdOfFU7naVtxczr/9oYrqej/DC70M8rl54lufY8vdX+DZb0/mkyON1l6G8desmj0B1cEutPX+UJKZcvvaSgZ4XbicLjVZIStV30qpHcCEnrp++2R/t6FjmlG7OZ7f0XavwkdmlXPO4AGEIiarb7mUpkCYknwPQwd6rSbp7WdugEAa0+bw8VZCEROfx2CQz8nlyCS29Su1dbUN9OhWcex148tSVoNHTAiGFVc99Brf+e07uHQNTZOUs/2S6eO477ldafvj1TUHWbRhp5NPnQVs05cjHcFgmD21zfzi5Q+iO8mmMSFMpRjoNdh811REIGIqwmETw9AYPTifdfMqOHSslbrmID99cY+VN73i5nLmP37Chn7w6xfxH3/cfdr51A7dg+0F3RQKU+B18c9fHYMRC4ikMiG8bp3DxwMJCUttCwPCpuKG5W8mXLu2MYjH0Kw+0y3BCB7XiRTUeD61Q+awtaBDoQgHGxJFun5BRcpMu1DYTDJF4h2VhhZ4UzaAvOPKc7ll9dtJH477rxvLGQNzKHbs54xja0Gn6hN94/KtPPPtyfxubgURFa0Gd+lCczD1Ai8UMQmHTUrzPEkfhBHFuSlfc3ZpHmUFXqdaJQvYWtDp+kQ3tUa4fOlmttz9BWsz+5e+d1lKUyQUiValnD84n/NL8xLaIsSTnZLMF2cTz6xha0Gn6xMtsa5KLl2sWTfeAL1tsGXZzPFWjWDc9BhWmGtdyzQVTy2oIByBiFLoIhg6VmqpQ+axZX/oOOn6RFfuO8L4EUUAbN9fxxVjhqCUwuvWLVeboQkP/+lDqzH6a4umMmRADjVNAWuGLvK6+bCuOen6o0t8HAtEnArwniPtm2lrQcOJ3bDadk9qDZk89sY+Zk4awYGj/oQtkpdMH8eZg7wcPh6wvBplhV6e+/ZkqtstMNfNq7BMljjx4x8cbrI8H2cV5TKiyOeIuvvoHw3PU+Fy6QlmAkRNhVmTRqCJpOxv99u5Fda5cfddSzDZCxLqYC+Xxc+8l5BSWpDrcqKGGcD2gk6FaSqO+cPkuvU0gjQZMjCH1xZNxdA1SvM8HDzmTzo33uG0/QytiyTVK545KBd8Gfnz+jX90vMfb0YT73XXlrJCLx49GkjRNaHE58YwNGuB2ZZ0HU5FU8xZ8zZXPPgqc9a8zVcvGobL6Jdvdcbpl+9yvBbwwY0fJG2RvHxWOfc+t4vLl25mxsqt7K5pIhAIk+PSksRbPrKYswZF93J5ddFU1s2rYFiBhxkr3krq1RFydgPICP3S5Gg72xq6JISuI6ZJbWO0GCeeuLRuXgWBsEnlviM8ObcCpRQiwitVhyjyDU2w0T+pa2byqCLmXjbKMjlWvbaXsFO9khFs7+VIRV1TKwcbWqlrCrL141pumHBmgr07fkQR8x+vtM5/ddFU/KEwwbBK8FM/Mqucwfluwma0s6mmCZ8dbyUYNgmbCn8wzJGmIMMKcxiU66Y4v7NFPg7t6H1eDhHRiTZPP6iUmpbJe+uaUJDrYnC+h6I8N3PWvJ0QTPG6NC4ZXsCCqWdT5HNjaMLPNn5AgdfN6lsuxdA1XLrw+Bv7WPH6fsoKvayZcymhsGLu4ydKtX75d+MpHeDBcKq/M0bWZmgR+UeiSf4DTibo7p6hjzS2Ut8SxOs2rET/OGWFXp5aMIm9tc0J/umfz7iYknwPEVPhNrSk162+5VLLVdf2Wo/fOpH9dS0MH+RlVHFegi/aacHbadK+SVmZOkSkDPgq8Kts3D8QNpmzZlvaXI+IqZL8099dt4O9tc1c8eCrBMPJDWbSuQBrGgMsfuY9ahsD1Lec2FUr3tX0+mVbmLJkE9cv28Kew41OpXgXydZ34c+B75OlXQDiTRZTueLixbTp2okBKStVWoKRtB2b4m0U/KETf277fRXjxbd1zZ3tDuEAWRC0iEwDapRSlSc5r9N9OU6G16Xz/atHc6wlxLKZ4xNccctmjkcp0ooT4IX/S/Y/lw3ysurm5FKt5Zs/Bk7M/HE66mrq0HmysSicAlwrIl8h2ttjgIisVUrNantSV/pynAqLNuykJM/Dv08fy5o5E62N7MNmhGWbPmLJ9HEJNvTSG8bxwAt7AJh0TjH1Tf6EVNKPa44ztqyQ9bFjH9c2J5RqRbP7Tswf8TZiST2qnQBMl8i4oJVS9wD3AIjIVOCu9mLuaeKBlep6P/c8/R4Lpp5tbed233Pvs7Gqhg9rmqz9V4YMzMEfilDbFODG8jLOKvLy2XHdSkyKu/BAYQLvHjjKyJIB1MZ2oo0HbIpzT3RPMzThl393CUebQ5YPfJDPZZWJOXSOrPqh2wg6o16O2sYA1y/bkjQ7/s/CyRxqV1cYNUlyONTQSk1jkHNK8xAhpXdk3bwKROCTuhYG5ro4fCxgiXXwQA9nDMixEpQOH/Ozv66FO596N6HAdkRRLoMHepPG7JBA7/JyxFFKbc60DxpSN6JZMn0c//T7/2OA1+C3cyt4/ftTeXJuBSKCP2jy8MsfMmfN24QiZtpFo0sXlIKhBV7cus4f/+8QM1ZuZc6at5n3WCUtwYi1xVxEYYk5/vo7n3rXqRTvIv0y9B1vRJOqNUHVoUaeXjCJj2pbkvKkaxuDiKTOspv/1yOoaQwmtgWLbSC0vrKa6no/gZBplXOl68jUFyK3vZl+KWiIijpVa4J4nvOjb+xLaLf76Bv7WDD1bDyGhkIlFczOnjwyIdm/ut7P7U9s57FbJ7K+spqyQi/NwTALn9jO+vmTOtzqwqHz9FtBQ/qaQ03gts+PSrJv83IMAmGTRzZ9zF1fPs/ycmgiaYM0euweD914EQO9rmi+dcTkjAE5PHbrRD6pa0mobHHqEbtGv/YRFee6U+Yzg6S0bwd6Xbh1jTf21jHxJ68wZckmLl+6mZtWbbWE25ayQi+6JiyeNoaf/O9uTBUNyBi6hmkq/KEIi595jxkrt7L4mfcInGaKabq+1f2Zfi1oj8fgvGJfQj7zecU+wmbqvVMCYRMttq1F+2CMO9bNv+3xpTeMQynF/McrqW0KYGgay2aOx+fR+PSY32ohFr/+6UQKndB5avq1yQFRUQ/zJL4NekvqjqMa0NQa4Q/vHkwqsfrmlJHkeYyE3Oo8j0FDS8haVBoavLq7hunlZdS3hFLucXiqkcIjzQEeemlPwusfemkP/3b9X1Haj9NU+2U+9Mk42hxgz2eNKfdO2VfbyAXDCpJaF/jcOv/xx/eZXj7cEtjTlQdYPO1CWkMRNmz7CxVnlzDI56I4z4OpFDWNAf7hdzus6zz8jYsZWew7pWLaQ8da2JvCEzOqxMeQDvzY7avgS/M8uFx9biHaf9sYdAbTVOyva05YsBXnuWkKhCkrzGXtm/uSigJmThrBcX84aaOiB17YQ21TgGUzx7P2zU/4m78awjmleRz3h5jfpoocot8C/337ZEoHnHyGPVjfkraFQvsq9zihUIQ9NU0JY1w+q5zRpXkdiroXprn2vgT/3oymCSOKfOTnuCwT4L7ndrGxqoZX7rycFa/vZ8Xr+xNe83cVI/AYwtrbPkfEVPzlaAsPvHAil2PhE9tZPG0MuW4dUyl8HiOlnd4aOjWTI31b4PSvOdIcTNpxYMHaSp6aP4khBaln9bitnmqPmd6Yu+0IOg3xhukQDVPPmTKSqkONVupo+5kxGj1sZURxLsdbQ8xZ83bC9arr/ZTme2hoCaGJgKRu6xsXyclmRY8rtR/b00EL32CajUJDkfTelbrmIP+z/UDSmuFbl51jvT+9CUfQp0Ak1ibs/uvGQoqgyrKZ4wlFIhT6om69gbFEp/ZiG+h1kZ9jkOvRaA2aPPGtz6GJ0BoKU13fyqDY62uOt1LTGEgwDVbMKmdIQQ4F3qiwi30eVs2ekDRzdtTCV0/nd+9gphUUX71oWFKZmvTSfcwdG/oUqK5v4UfP7bIWfDkujYFeNyJRkRga7DvSwuot+1g87UI0DfYfSV6wjSzOxefROHA0kBQif/7dg1x7SRlDCzzUNYW5ZfWfk4QXT3ONtxU7Xdv28DE/e480Jy12RxX70iZEdcZWzwCODd0VvG6NOVNGJgnhzEG5CSmkS28Yh6ELgZCZMnT+T18ZA6jknbNiIfLZv/kzTy2YRENLMKVLr6ElSChiMsjnIhTBEvKQgafWi7rtN018seuN2fTpiFf3tB9Lb23L4Aj6FCj0ehg8IJwghMH5OUSUSjhWlOfmoY0f8PUJw1N+AA4d8zO0wJvSjtU1idqzYZNQxOT7V49Oen0oYrJ6yz7+4crzLA/JaS3SFCzb9BHTy4eTi04wYrJs00fce82FaWf7HENLOZacXlqI4Aj6FGjv9Yj/h5tmtCd02FSEIsrqJT2z4kwKPZ6kmXDZpo/44TUXpu2HF7dnc1waQtRjomuCqRRPbt3PjIlnMXvSCB5++YOkgMqPrx+XdpEWF6vb0PjOFedye9veIjPH4za0tJ4ME2Km1In7rd6yj/uuG5uhd//0yLgNLSLDgceAM4gWya5USj3c0WuybUN3RF1TNP30YH2rJd5hhTkU+dw0BSLUNgaoaw7ydOUBvn3FuQzO96S0Y0cU57L/SAujin3UNgWT/NlFeW40Ebwujer61lMuDGjrdnv225NpDEQIhZVVcuYyhHyPzrX/9UayT3zhZMxYOVn79cA5Jent7gzQqxL8w8CdSqkLgArg70VkTBbG0S34QyY/fXEPwZjrKxiJPg+ETJ7cup+BXhfnluax6Mvn84d3DwLRlgf3XzeWdfMqrFkchOJ8Dx6XJNnYizbs5GhziByXjqRJnIoX4IbDJp82+PmkrplPG/wcbz1RXR4xwdDAY2jomuAxNAwNIiapc1dCZsqWDnc/vdOxoeMopQ4Bh2KPG0XkfWAY3bzfd6aImIqNVTVsrKpJOH7ftRfytfHDE9xdq2ZPIGQq7n22igVTz7bs2HufreLhb1zM7k8bcA8flFJcJfkeNEm/b0xYRfdV3H24MWnv8cmjilhfWU0wHKEpEEbXdDSBkFJEzAiF3tQFu1psv8ZUi8KII+hkRGQEcAnwVjbH0RXcaTYOguTtmYt8buqag9Q2BRJ655UVevm4tpmzivPTXq+2McDwNrZ2Khs83iY4wYMSaza58Avn4DJ09JDJgaMnQvplg7wgJFW5L5k+Dk2iDeNTLgq7If+jJ0LqWVuqikge8DTwXaXU8RS/77G+HN1JSZ6H5e1yqpfPKqck1rwxvj1zSb7H2mp5RYrzzy714TEEXU+dhjrI5yJiKiQmvvb1kCInqtnbUl0f3VEAgUDIpMDrYvig6HjKCr2senUvwciJCp118ypYPG0Mj76xz6pvjIs5fr1FG3Z2+X0zTcWez9qlv37W9fTXrARWRMQFPA+8qJT62cnO782LQojarTVNAcIR0+r4b3Tg1jp8zE9r2MRUioiJ1aV0kM9FQa6b7/5uh9VaIf4V//NvXIxLi8bn7msT5Iln9f3rNRcCpA2CBMJmdBGoC5cv3Zwwnq33XMG+FAvVkcU+IqZiypJNSX/Dlru/0KXASs3xVv72kRQL0VNLzuo9gRUREeDXwPunIua+gGFoDE2T3JOKkKn47u928KPrLuRIU9BqMWZogq5JSpNE14T6lhD5XoN//uoYfvyHKjZW1ViuN0/sA5RqazqPoTFlySbKCr38bl5FksmicWKhGjdFct06GqD3UO2jP5S6c9SpJmelIxsmxxTgZuAKEdkR+/lKFsaRNTyGTm1TgB8+s4tgxLT8x//yP7vQ01S+uDRh/tpKLntgMzN/9RZ3XHker39/KmvmTMRtCIYenbQGeA3WzJnIK3dezpo5ExngNaysi+p6f8r2Z6KJ9aGKk+vW0XVJ2fJh1ewJXa59TFey1lUb2snlyALtUzJfXTTVMgPu/OK5XD1uCNVH/QkLt92fNuB2uRLMjHv+5gL217VwVlEueTkGjf4QIdPEiHkx4q3NdE3jqp+9BsAlwwt4+KaLCbbxRee4hIgiwT/tNoShA7wYhtYji7fO5JW0ofeYHA4n+oLEPSCKE6mkD/7pQwC+Nr4MM7Y7raYpSgfkJgVTclwaFw0fGNstIIKp4GcbP0iyr6eXD7fuXdsUwKNrGNEd0sYAAAXISURBVKI4UO+3WpCNKM6lOWCmXAe0TaXtLlxG1O/e1swpzvfgMrr2QXEEnSXa51svvWGcNVutq6xmwshBjCr28bl/f4VX7rycV97/LCkn+ba/PpvDxwPWTP+lMaVJoe1lM8fzX69EPyRxj4iJSphh83Nc5HvcDPRmLmFfE/B5dM4pzcNU0VYQuh493hUcQfcCRKAoz52U6CSxIgCvW0uZkxwxVUKP6Xhw59FbJ1LfHGTIwBwee2Mf08uHc9vnR1lZf/deE01xjS/uslFSFYmALmAKoKLvgS7R412hd6ZM9TuEp7cdoKzQa/mHn952ABBWzZ5AxMTyXMCJreJSVaBsrKrB0IS65iDbP6njmovLuP/5Kmas3Mr9z1dxx5XnYRjCoFx3gn880yigNWTSGguvxx93dUXnzNC9gOI8D1+7pF2Y/OYJFOd5KM7zcKC+pcOuTO1daqapuP/5Kh6ZVc7IopyEPtZet0a+25X1Sm9DT655UbHjXbpul17t0C1omjD6jOQweXzmdKUJh7tiLr72ngKvW2fdvApy3BpetxtfTu8rZh2Q46axNUy4jax1EQbkdM0d6Ljt+gCpko7i7QcONPgT2i0MLcghGDY50hTkwqEDTqklQrbogjvQ6cvR10kXXjdNxZGmAM3BCPuPNPOfL39IbVOA5bPKOX9wfoch+D6MI2i7c7r5JH0cJ7Bid043n8Su2PYj7NA/cQTtYCv6hA0tIrXAJ518eTFwpBuHkwmcMXfMEaXU1al+0ScE3RVEZJtSakK2x3E6OGPuPI7J4WArHEE72Ir+IOiV2R5AJ3DG3Elsb0M79C/6wwzt0I+wjaBF5GoR2SMiH4nIDzo47wYRUSKS1RX5qYxXRG4UkSoR2SUiT2Z6jCnG0+GYReRMEdkkIu+IyM6sFD8rpfr8D6ADHwOjADfwLjAmxXn5wGvAVmBCbx4vcC7wDlAYe17a299jonb07bHHY4D9mR6nXWboicBHSqm9Sqkg8DvguhTn3Q88ALRmcnApOJXxzgV+qZSqB1BK1ZBdTmXMChgQezwQ+DSD4wPsY3IMAw60eV4dO2YhIpcAw5VSz2dyYGk46XiB84DzRGSLiGwVkZSRsQxyKmO+F5glItXA/wLfyczQTmAXQadKJ7TcNyKiAQ8Bd2ZsRB3T4XhjGETNjqnATcCvRKSgh8fVEacy5puANUqpMuArwOOx9z5j2EXQ1cDwNs/LSPy6ywfGAptFZD/RvtTPZnFheLLxxs95RikVUkrtA/YQFXi2OJUx3wasB1BKvQnkEM3xyBzZXGh044LFAPYCIzmxYLmwg/M3k91F4UnHC1wNPBp7XEz0676ol4/5j8AtsccXEBW8ZHKctpihlVJh4NvAi8D7wHql1C4R+ZGIXJvd0SVziuN9EagTkSpgE7BIKVWXnRGf8pjvBOaKyLvAb4mKO6OROydS6GArbDFDOzjEcQTtYCscQTvYCkfQDrbCEbSDrXAE3QuIZf892Ob5XSJyb5vn80Rkd+znzyLy+dhxXUQqReSyNuduFJGvZ/QP6EU4gu4dBIC/FZGkqJqITAPmA59XSp0PLACeFJEzlFIRYCHwSxFxichNgFJKPZXJwfcmHEH3DsJEUy+/l+J3dxMNqhwBUEptBx4F/j72/C3gDaKJQT+JH++vOILuPfwSmCkiA9sdvxCobHdsW+x4nHuA7wJPKqU+6rkh9n4cQfcSVHQ33ceAO07h9NhGDhaXAceIJmD1axxB9y5+TjRjzdfmWBVQ3u688bHjiIiPaNHCFUBJf9vzsT2OoHsRSqmjRNMvb2tz+AFgiYgUAYjIxcAtwLLY739INFFoN9EF4kMi0nu7nPcwTjvd3seDRLPaAFBKPSsiw4A3REQBjcAspdQhERkDXA9cFDt3h4i8SHQheV/mh559nGw7B1vhmBwOtsIRtIOtcATtYCscQTvYCkfQDrbCEbSDrXAE7WArHEE72Ir/D6IEOUnt6nVPAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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cQQ4HE6kJLZzyx4dj1ujv9ci4q6f5KgGEIppxPGB2rJ5WSupeFJEGEdkFHAWeAN6ghAWMCu0Vemw07Fg+eigU5Zy5M9jcdyHP3LKcH133YR7Y+iYn0kbmL//hIn68ppf4OCLuCPjGDR4rJozAuCynn5IagqoaB5aISBvwKHCu02X29ykXMPJ4hMVzZ/DoDcty9goNRZ3NmlA0gXeGB0X59Pd/lbrmxkvfnxL58nPn8ql7tnHvtR9ydC82ejwZdvemvl7C0SiXfue/clZPi6kEUIzLMhyOcWzslF0/u9mH32/s+nyUZcFIVYexqgD0UuICRsm9Que3N6f2DB04GUbVqtZ1/ultqWu72gN4xDqfvQNGUpBXLu1KjexJf3z2AtOsQGOOmTMahZf/52Vs6uvNmIjmyyVt8knGcWeBHavD4Rj7jmU+b9+xUcJhY9fno2TuRRHpBKKqOiwiAeAXWBPMz1KmAkbp7sbOVj9fvGwRCzqaOTQc5P7n3+S6ZWfyD4+/xsBImLtXd/PdJ/fxi1ePAvDwmg/T0uRjRpOX5WlFh67q7mLNxQvxeT0pf/yRk6G82Uvz25tz+jVVr0uhbCmn57mIimQYzQPus+uje4DNqvpzEXmVMhUwSrobO1v9fOUji7n1kd0Z0YsPPv8WL74zDMD1D+7goc9fwKuHTtI/FOQrW17iZzddxFg4kWFqbN7Rz9YDg/xkTS+DoxFmNzdOOHw3PZfUSfTjuRZNuPDEKZnQVXU3cL5De9kKGCXdjbetPC8lcjjlLblt5Xls3tGfamsQMrL2Dw8H+eWrA45Fh/55Zz+bdvSzqa930hW4CpWaEyGvDV7oee8OjZk0PwfqevaSdDe2BRodR8C2QGPquKs9gIhwfCzK4s4WDp0Mc8W6ranzP17Ti6oloIDPw7d/uR+wRte5Lf5JVeDK52r81y9exNsOi05nz27B7/fS2uRxfF5rk4c/Xrc1b3iCm6lroSfdjYdPhPJmDyVf37lqCW0BD9DIoZNhvB5hx22X0v13/8G3f7mfb/9yf8oO3nf4ZOo+r0cmXcMlnwkyEnJedNrU18t8v5fhsTiHh8cynvfqwRPMbPI63+Nuux2oc6En3Y1zZ/q5e3U312cFbgUjcTb19TIWiXPu7zQ7Lt0nxZ489niUq+95Icc7MpkaLvlMkPFscK9H+PrP9+Tc93Bfb9573E7dBXUlIxd93gbaA40MBaNEYnECvgZiCSVqr2J+/WevpDwsAM/dekleT0a2d6TV72EknJiyDzufjT6rubGgVyUSifHaQO59bw68x00P73a8xyXUf10Xp8jFDau7WWe7DJOrpIvnzuCdobEMkUNhT0Z67fLZAvuO5YosaT9PhHwmj4jzHqizm63/Hj6fl8WduffBqXj5cu2bWivUzYg+cDLMx+96LmcUvG3leVz/wI7U8aM3LCMaT+SE5hYa0dP92uXyYU9m5dMUV5rc9os1Rb7IxXTPSjKS0e+VnBXOtoAnZ8Vy81rL5j1kRzweHw0VHPkPDgeJxSZfmDQdvz+z6m4x/y0aGxsy7nGZyAtSN6ZL0pWYPdIOB6Ocf3oba5efRUeLDxEhHEvw4PNvpTbwavAIew6PcWbnKZt8RlMD7w7nTk7nt/nz+rCvuvv5KddVN5SGujFd8tnoP9vVz8WL52asimYv99/9mW7+7uevZoj3P796CZ+8J9dEebivl6Gx3HS6w8NjrHlgZ97sJENZqP/JqFPkYnugkVnLFmbY4/1DwZzl/o4WX445ki/jP57QHB92a5OHmU1enrv1EqLx+JTqqhtKQ90IHU5FLiZJJJRYwjlVzusRNl9/IbF4ggYHf3aDOPu4RSQ1cm/q6+X4WJRVGzNH94UdjRiqi7oSejpJUyZ9VfQfPvEBLlrUSdxeRAk0CkE8dNorqOlmj7fBcvG1NIK/sTE1ens9p0JpW/we3jgazBjd3zj6HsPNjbQ0VfgXYMigbmz0bJLuxmTk4vGRIO/rnOm4yHJm50wWz2llOBTLSNiIROKOCzpndvjxebwEYzHeHsqdsC5o93Nas1F6Bah/92I2kViczlY/a5efxcwmL0vP6HCMH1l6RgdtzY0cfC9k3dPio9OuvZgv6OpEMIHP52Uk7ByTMhI2Nnq1UbemS8DXwFdXLOaWLZa35Zlbluf1fydT6JIj8uLOFnw+77gxJyYuvHao2xE9ltCUyIHUhDOdrvZARgHS7Az88RKdxztvqB5KJnQROV1EnhKRPSLyiojcbLfPEpEnRGS//b3dbhcRWScir4vIbhFZOpXnR2OZ3pat+wccczW37h/IuC87q9/pnmRcyexm5/PJmBRD9VDKnNF5wDxV3SkiM4AdWDVcrgWOq+o3ReRrQLuq3ioiHwVuAj4KXAB8V1UvKPSMQpPR46NhfvPOCZp9DQwHo2x4+g3+YtkClp7RkfKQtPg9rPze1oJxK+PVUjTZ+FVF+ReMVPUQcMh+fVJE9mDVbrkSWG5fdh9WdYBb7fb71frL2yYibSIyz36fCZFIKEfeC3PbYy+nbO/b/+z3mDuziXmnBfDYpkUkEnOMEkzPwB8vztzv9zLfCLvqKcsnJCLvw8of/RUwNyleVT0kInPsy1IFjGySxY0mLHSnGoy3bNnNP91wEZFIPGOEzg6TNXUP65OSf6Ii0go8AnxJVd8rUGVuygWMkjhFMna2+onGEhwKh3jz2BjrntzPwEg4pwCooTKUutx2qUvSNWKJ/CFV/Se7+Yhtvyft+GQGRKqAkU16caMU4xUwgtwajOef3sZXVyxm1cZtXPJ/nuG2x17mKx9ZTGer32zNUgXkK7waCk1fQaZSel0Eq1bLHlX9Ttqpf8EqYoT9/bG09mts70svcGIy9jnk1mD84mWLMlyN/UNBbn1kN2uXn2X83lVAvoW56RyASvn/ehnwGeAlu9AowF8D3wQ2i8jngLc5Vcvl37A8Lq8DY8B1k31wdiRjvkjEtkCj8XtXAeVYeCul1+W/yO/uuczhegVunK7np0cyDpwM5y13YbZPrDyTLQA1Eep2ZTQdp3LSG1Z3c968GWYiWgWMtzA3HdRt9GI22aUwkuWkDdXBNHld6j/DaDyykzIM1cVkCkBNBFeYLgaDEbrBFdS0jS4iA8BbaU2zgWMV6s5kMP2dXo6p6gqnEzUt9GxEZLuq9lS6H8Vi+ls+jOlicAVG6AZXUG9C31jpDkwQ098yUVc2usGQj3ob0Q0GR+pG6CKyQkRes5Orv1bp/mQjIj8UkaMi8nJam2OieKWZaGJ7LVAXQrf3Mv2/wBXAecAnReS8yvYqhx8B2T7erwFPquoi4En7uBqIAV9W1XOxdvu+0f59Vmt/x6UuhI61b+nrqnpAVSPAw1jJ1lWDqj5L7pbvV2IliGN//1hZO5UHVT2kqjvt1yeB9MT2qutvMdSL0PMlVlc7GYniwJxxri87hRLbqcL+5qNehF5UYrVhYmQntle6P1OhXoReVGJ1FZIvUbziTDCxveqpF6H/GlgkImeKiA+4GivZutrJlyheUSaR2F711M2CkV3S7k6gAfihqn6jwl3KQER+glWhbDZwBPhb4J+BzcAC7ERxVc2esJYdEfl94D+Bl4BkDey/xrLTq66/xVA3QjcYClEvpovBUBAjdIMrMEI3uAIjdIMrMEI3uAIj9CpBREbs7+8TERWRm9LO/aOIXGu//pGI/FZEfiMi+0TkfhGZn/0+acfXisg/2q8Xi8jTIrLLjkys2USKiWKEXp0cBW62F7+cuEVVPwgsBl4EnipwbTrrgDtUdYkdmfi96elu9WOEXp0MYIXBfrbQRWpxB3AYK0R5POZhhUsk739pKp2sJYzQq5dvAl+2Y+3HYydwThHX3QH8h4j8u4j8pYi0TamHNYQRepWiqr8FXgA+VcTl41VLVfs97wXOBX6KFY6wTURcUZDSCL26+XusHfvG+5zOx0qOAAhm2euzSKuupaoHVfWHqnolVibRB6axv1WLEXoVo6p7gVeBlU7n7W1wvohlez9uNz8DrLbPB4CrgKfs4xV2+C0i8jtAB/BuKX+GasEIvfr5BlZ8fTq3i8hvgH3Ah4BL7BRCgJuBT9jb6WwDfmqn8QFcDrxs3/v/sLw3h0v+E1QBJnrR4ArMiG5wBUboBldghG5wBUboBldghG5wBUboBldghG5wBUboBlfw/wEOBhsEShcTuwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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eNMUw7EnAV6jx/SgRxyf02FoQM8sBpbUgkWNm281sU7i/B9hGY03bnw2sC/fXUfxlqxWnAb81s3ITYDUjjoJuiLUgko4EPgv8Oiy6StIWSWuj/lMfUu5dj4vMbDsUf/mAQ2pgR4mLgAfGHdf6fgDxFPSU1oJEaoA0H3gUuMbMdgN3AEuB5cB24LYamDHpux5rhaQMcBbwo7CoHvcDiKegp7QWJCoktVIU8/1m9hiAme0ws4KZBcAapvHexZlS4V2PO0I/v+Tv74zajpAvAJvMbEdoU83vR4k4Cvp5YJmkPwifDBcB62vRsYovcbkb2GZm3xtXfti4aucCL0VsR0c4KC299/GMsM/1wGVhtcuAJ6K0YxwXM87dqPX9GE/sohwAYRjoH/hkLci0Xg03i37/FPgF8CIQhMU3UvyBLqfo+rwFXFHyZSOyYwnFpzJ88q7HmyV1AQ8DnwLeAS4ws11R2RHaMo/imGaJmf0uLLuXGt6PCfbEUdCOU4k4uhyOUxEXtJMoXNBOonBBO4nCBe0kChd0nZF0qKQHJf1W0suSNkg6WtJwuFLtZUn3hBM6SDpF0n+E+1+WZJJOG9feuWHZ+fX6TvXEBV1Hwomax4Gfm9lSM/s0xbj2IooLfZYDn6E4G3phhWZepBgHL3ER8EJ0Vjc2Luj6ciowamZ3lgrMbDPjFl+ZWQF4jsoLsH4BnCipNVxjchSwOTqTGxsXdH35Y4prqisiqZ3iGuMnK1Qx4GfAn1NcPlqTZQCNigu6cVkqaTPQD7xjZluq1H2Qoqux7xLOpsMFXV+2AisqnCv50EcBJ0s6q1IjZvYcxaf9QWb26tybGR9c0PXlv4A2SatLBZJOAI4oHYeLeq4HbpikrRsoDiibGhd0HbHiyrBzgdPDsN1W4Cb2X9/9Y2CepD+r0tZPzOyZyIyNCb7azkkU/oR2EoUL2kkULmgnUbignUThgnYShQvaSRQuaCdRuKCdRPH/bLfu9u95CaMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Scatter plot of only the highly correlated pairs\n",
    "# 使用SVG格式可能导致pairplot变得非常慢\n",
    "%config InlineBackend.figure_format = \"png\"\n",
    "for v,i,j in s_corr_list:\n",
    "    sns.pairplot(df, x_vars=cols[i],y_vars=cols[j] )\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 参数hue表示类别"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 402.375x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot('RM', 'MEDV',data=df, hue='CHAS', fit_reg=False);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    " _, axes = plt.subplots(1, 2, sharey=True, figsize=(10, 4)) \n",
    "sns.boxplot(x=\"CHAS\", y=\"MEDV\", data=df,ax=axes[0]) \n",
    "sns.violinplot(x=\"CHAS\", y=\"MEDV\", data=df, ax=axes[1]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看出，不同CHAS取值，目标MEDV的分布不同，初步断定CHAS和目标MEDV有关系。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "三、如果发现特征之间有较强的相关性，在选择线性回归模型时应采取什么措施？\n",
    "\n",
    "答：如果发现特征之间有较强的相关性，可以考虑在特征\n",
    "层面上进行PCA降维处理，在模型层面可以加正则项。\n",
    "\n",
    "四、当采用代正则项的模型以及采用随机梯度下降优化算法时，需要对输入（连续型）特征进行去量纲预处理。课程代码给出了用标准化（StandardScaler）的结果，请改成最小最大缩放（MinMaxScaler）去量纲，并重新训练最小二乘线性回归、岭回归和Lasso模型。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 采用最小最大缩放 MinMaxScaler 去量纲\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "\n",
    "# 从原始数据中分离输入特征X和输出y\n",
    "y = df['MEDV']\n",
    "X = df.drop('MEDV', axis = 1)\n",
    "\n",
    "feat_names = X.columns\n",
    "\n",
    "# 分别初始化对特征和目标的标准化器\n",
    "ss_X = MinMaxScaler()\n",
    "ss_y = MinMaxScaler()\n",
    "\n",
    "# 分别对训练和测试数据的特征以及目标值进行标准化处理\n",
    "# 对训练数据，先调用fit方法训练模型，得到模型参数,然后对训练数据和测试数据进行transform\n",
    "X = ss_X.fit_transform(X)\n",
    "y = ss_y.fit_transform(y.values.reshape(-1, 1))  # 这里直接y.reshape(-1, 1)行不通，必须借用values调用reshape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 保存特征工程的结果到文件，供机器学习模型使用\n",
    "fe_data = pd.DataFrame(data = X, columns = feat_names, index = df.index)\n",
    "fe_data['MEDV'] = y\n",
    "\n",
    "fe_data.to_csv('boston_housing.csv', index=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "\n",
    "# 图形出现在Notebook里面而不是窗口\n",
    "%matplotlib inline  \n",
    "# 读取做完特征工程后的数据\n",
    "df = pd.read_csv('FE_boston_housing_第四周基础作业.csv')\n",
    "\n",
    "# 从原始数据中分离输入特征x和输出y\n",
    "y = df['MEDV']\n",
    "X = df.drop(['MEDV'], axis=1)\n",
    "\n",
    "# 特征名称，用于后续显示权重系数对应的特征\n",
    "feat_names = X.columns\n",
    "\n",
    "# 将数据分割训练数据和测试数据\n",
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "# 随机采样20%的数据构建测试样本，其余作为训练样本\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=33, test_size=0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#训练最小二乘\n",
    "from sklearn.linear_model import LinearRegression\n",
    "\n",
    "# 1.使用默认配置初始化学习器实例\n",
    "lr = LinearRegression()\n",
    "\n",
    "# 2.用训练数据训练模型参数\n",
    "lr.fit(X_train, y_train)\n",
    "\n",
    "# 3.用训练好的模型对测试集进行预测\n",
    "y_test_pred_lr = lr.predict(X_test)\n",
    "y_train_pred_lr = lr.predict(X_train)\n",
    "\n",
    "# 4.使用r2_score评价模型在测试集和训练集上的性能，并输出评价结果\n",
    "from sklearn.metrics import r2_score\n",
    "#测试集\n",
    "print(\"The r2 score of LinearRegression on test is\", r2_score(y_test, y_test_pred_lr))\n",
    "#训练集\n",
    "print(\"The r2 score of LinearRegression on train is\", r2_score(y_train, y_train_pred_lr))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 带有广义交叉项的岭回归\n",
    "from sklearn.linear_model import RidgeCV\n",
    "\n",
    "# 1.设置超参数（正则参数）范围\n",
    "# alphas = [0.01, 0.1, 1, 10, 100]\n",
    "\n",
    "# 2.生成一个RidgeCV实例\n",
    "# ridge = RidgeCV(alphas=alphas, store_cv_values=True)\n",
    "ridge = RidgeCV()\n",
    "\n",
    "# 3.训练模型\n",
    "ridge.fit(X_train, y_train)\n",
    "\n",
    "# 4.预测\n",
    "y_test_pred_ridge = ridge.predict(X_test)\n",
    "y_train_pred_ridge = ridge.predict(X_train)\n",
    "\n",
    "# 5.使用r2_score评价模型在测试集和训练集上的性能，并输出评价结果\n",
    "# from sklearn.metrics import r2_score\n",
    "#测试集\n",
    "print(\"The r2 score of RidgeCV on test is\", r2_score(y_test, y_test_pred_ridge))\n",
    "#训练集\n",
    "print(\"The r2 score of RidgeCV on train is\", r2_score(y_train, y_train_pred_ridge))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#训练lasso\n",
    "\n",
    "from sklearn.linear_model import LassoCV\n",
    "\n",
    "# 1.设置超参数（正则参数）范围\n",
    "# alphas = [0.01, 0.1, 1, 10, 100]\n",
    "\n",
    "# 2.生成一个RidgeCV实例\n",
    "# lasso = LassoCV(alphas=alphas)\n",
    "lasso = LassoCV()\n",
    "\n",
    "# 3.训练模型\n",
    "lasso.fit(X_train, y_train)\n",
    "\n",
    "# 4.预测\n",
    "y_test_pred_lasso = lasso.predict(X_test)\n",
    "y_train_pred_lasso = lasso.predict(X_train)\n",
    "\n",
    "# 5.使用r2_score评价模型在测试集和训练集上的性能，并输出评价结果\n",
    "# from sklearn.metrics import r2_score\n",
    "#测试集\n",
    "print(\"The r2 score of LassoCV on test is\", r2_score(y_test, y_test_pred_lasso))\n",
    "#训练集\n",
    "print(\"The r2 score of LassoCV on train is\", r2_score(y_train, y_train_pred_lasso))"
   ]
  },
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   "metadata": {},
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    "\n",
    "五、代码中给出了岭回归（RidgeCV）和Lasso（LassoCV）超参数（alpha_）调优的过程，请结合两个最佳模型以及最小二乘线性回归模型的结果，给出什么场合应该用岭回归，什么场合用Lasso，什么场合用最小二乘。\n",
    "答：由上题cell单元中的运行结果：\n",
    "1.最小二乘线性回归结果\n",
    "The r2 score of LinearRegression on test is 0.6902959550898358\n",
    "The r2 score of LinearRegression on train is 0.7451448367308489\n",
    "根据最小二乘线性回归的解需要对矩阵求逆。当输入特征存在共线性（某些特征可以用其他特征的线性组合表示），矩阵X是接近不满秩，矩阵\n",
    "接近奇异，求逆不稳定，所以结果不会很理想。所以最小二乘线性回归适用于特征之间不存在共线性的情况。由于最小二乘与其他两个模型相比未加正则项，只考虑了对训练样本的拟合程度，故在训练集上的结果最好。\n",
    "2.岭回归模型评价结果如下：\n",
    "The r2 score of RidgeCV on test is 0.6929146520257345\n",
    "The r2 score of RidgeCV on train is 0.7450810988477314\n",
    "从结果来看，岭回归虽然在训练集上的效果不如最小二乘线性回归，但在测试集上的效果却要更好一些。岭回归由于加入了L2正则项，通过alpha参数的调节，可以平衡拟合程度和模型复杂度之间的关系，岭回归的。即使在输入特征存在共线性，矩阵X是接近不满秩，矩阵对角线存在等于0或接近于0的元素，但\n",
    "求逆仍可得到稳定解。因此岭回归适用于输入特征存在共线性的情况。\n",
    "3.Lasso回归模型评价结果如下：\n",
    "The r2 score of LassoCV on test is 0.6909712241255915\n",
    "The r2 score of LassoCV on train is 0.7451229340174219\n",
    "从结果来看，Lasso回归模型同样在训练集上的效果不如最小二乘线性回归，但在测试集上的效果却要更好一些，但在此特征下不如岭回归。Lasso回归中的L1正则同岭回归的L2正则一样是用来平衡拟合程度和模型复杂度的，但当正则参数取合适值时，L1正则能使有些线性回归系数为0,得到稀疏模型。所以，Lasso回归模型适用于，当输入特征多，有些特征与目标变量之间相关性很弱时，L1正则可能只选择强相关的特征，模型解释性好。"
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